diff --git a/cmake/onnxruntime_graph.cmake b/cmake/onnxruntime_graph.cmake
index 3f532ec2c326..4d51325b8414 100644
--- a/cmake/onnxruntime_graph.cmake
+++ b/cmake/onnxruntime_graph.cmake
@@ -7,8 +7,26 @@ file(GLOB_RECURSE onnxruntime_graph_src CONFIGURE_DEPENDS
   "${ONNXRUNTIME_ROOT}/core/graph/*.cc"
   )
 
-# create empty list for any excludes
+# start with empty training srcs list
+set(orttraining_graph_src)
+
+if (onnxruntime_ENABLE_TRAINING_OPS AND NOT onnxruntime_ENABLE_TRAINING)
+  set(orttraining_graph_src
+      "${ORTTRAINING_SOURCE_DIR}/core/graph/training_op_defs.cc"
+      "${ORTTRAINING_SOURCE_DIR}/core/graph/training_op_defs.h"
+      )
+endif()
+
+if (onnxruntime_ENABLE_TRAINING)
+  file(GLOB_RECURSE orttraining_graph_src CONFIGURE_DEPENDS
+      "${ORTTRAINING_SOURCE_DIR}/core/graph/*.h"
+      "${ORTTRAINING_SOURCE_DIR}/core/graph/*.cc"
+      )
+endif()
+
+# create empty lists for any excludes
 set(onnxruntime_graph_src_exclude_patterns)
+set(orttraining_graph_src_exclude_patterns)
 
 if (onnxruntime_MINIMAL_BUILD)
   # remove schema registration support
@@ -22,11 +40,18 @@ if (onnxruntime_MINIMAL_BUILD)
     "${ONNXRUNTIME_ROOT}/core/graph/contrib_ops/onnx_function_util.cc"
     "${ONNXRUNTIME_ROOT}/core/graph/contrib_ops/shape_inference_functions.h"
     "${ONNXRUNTIME_ROOT}/core/graph/contrib_ops/shape_inference_functions.cc"
+    "${ONNXRUNTIME_ROOT}/core/graph/dml_ops/dml_defs.h"
+    "${ONNXRUNTIME_ROOT}/core/graph/dml_ops/dml_defs.cc"
     "${ONNXRUNTIME_ROOT}/core/graph/function_template.h"
     "${ONNXRUNTIME_ROOT}/core/graph/function_utils.h"
     "${ONNXRUNTIME_ROOT}/core/graph/function_utils.cc"
   )
 
+  list(APPEND orttraining_graph_src_exclude_patterns
+    "${ORTTRAINING_SOURCE_DIR}/core/graph/training_op_defs.h"
+    "${ORTTRAINING_SOURCE_DIR}/core/graph/training_op_defs.cc"
+  )
+
   # no Function support initially
   list(APPEND onnxruntime_graph_src_exclude_patterns
     "${ONNXRUNTIME_ROOT}/core/graph/function*"
@@ -64,30 +89,12 @@ endif()
 file(GLOB onnxruntime_graph_src_exclude ${onnxruntime_graph_src_exclude_patterns})
 list(REMOVE_ITEM onnxruntime_graph_src ${onnxruntime_graph_src_exclude})
 
-file(GLOB_RECURSE onnxruntime_ir_defs_src CONFIGURE_DEPENDS
-  "${ONNXRUNTIME_ROOT}/core/defs/*.cc"
-)
-
-if (onnxruntime_ENABLE_TRAINING_OPS AND NOT onnxruntime_ENABLE_TRAINING)
-  set(orttraining_graph_src
-      "${ORTTRAINING_SOURCE_DIR}/core/graph/training_op_defs.cc"
-      "${ORTTRAINING_SOURCE_DIR}/core/graph/training_op_defs.h"
-      )
-endif()
-
-if (onnxruntime_ENABLE_TRAINING)
-  file(GLOB_RECURSE orttraining_graph_src CONFIGURE_DEPENDS
-      "${ORTTRAINING_SOURCE_DIR}/core/graph/*.h"
-      "${ORTTRAINING_SOURCE_DIR}/core/graph/*.cc"
-      )
-endif()
-
-set(onnxruntime_graph_lib_src ${onnxruntime_graph_src} ${onnxruntime_ir_defs_src})
 if (onnxruntime_ENABLE_TRAINING_OPS)
-    list(APPEND onnxruntime_graph_lib_src ${orttraining_graph_src})
+  file(GLOB orttraining_graph_src_exclude ${orttraining_graph_src_exclude_patterns})
+  list(REMOVE_ITEM orttraining_graph_src ${orttraining_graph_src_exclude})
 endif()
 
-onnxruntime_add_static_library(onnxruntime_graph ${onnxruntime_graph_lib_src})
+onnxruntime_add_static_library(onnxruntime_graph ${onnxruntime_graph_src} ${orttraining_graph_src})
 add_dependencies(onnxruntime_graph onnx_proto flatbuffers::flatbuffers)
 onnxruntime_add_include_to_target(onnxruntime_graph onnxruntime_common ${WIL_TARGET} onnx onnx_proto ${PROTOBUF_LIB} flatbuffers::flatbuffers safeint_interface Boost::mp11)
 
@@ -120,7 +127,7 @@ endif()
 
 set_target_properties(onnxruntime_graph PROPERTIES FOLDER "ONNXRuntime")
 set_target_properties(onnxruntime_graph PROPERTIES LINKER_LANGUAGE CXX)
-source_group(TREE ${REPO_ROOT} FILES ${onnxruntime_graph_src} ${onnxruntime_ir_defs_src})
+source_group(TREE ${REPO_ROOT} FILES ${onnxruntime_graph_src})
 if (onnxruntime_ENABLE_TRAINING_OPS)
     source_group(TREE ${ORTTRAINING_ROOT} FILES ${orttraining_graph_src})
 endif()
diff --git a/onnxruntime/core/providers/cpu/ml/tree_ensemble_helper.cc b/onnxruntime/core/providers/cpu/ml/tree_ensemble_helper.cc
index 180b3153fbb3..e2981da3a6f2 100644
--- a/onnxruntime/core/providers/cpu/ml/tree_ensemble_helper.cc
+++ b/onnxruntime/core/providers/cpu/ml/tree_ensemble_helper.cc
@@ -1,6 +1,8 @@
 // Copyright (c) Microsoft Corporation. All rights reserved.
 // Licensed under the MIT License.
 
+#if !defined(ORT_MINIMAL_BUILD)
+
 #include "core/providers/cpu/ml/tree_ensemble_helper.h"
 #include "core/common/common.h"
 #include "onnx/defs/tensor_proto_util.h"
@@ -64,3 +66,5 @@ Status GetVectorAttrsOrDefault(const OpKernelInfo& info, const std::string& name
 
 }  // namespace ml
 }  // namespace onnxruntime
+
+#endif  // !defined(ORT_MINIMAL_BUILD)
diff --git a/onnxruntime/core/providers/cpu/ml/tree_ensemble_helper.h b/onnxruntime/core/providers/cpu/ml/tree_ensemble_helper.h
index 3c8a5a840bc7..33172c343a88 100644
--- a/onnxruntime/core/providers/cpu/ml/tree_ensemble_helper.h
+++ b/onnxruntime/core/providers/cpu/ml/tree_ensemble_helper.h
@@ -2,6 +2,9 @@
 // Licensed under the MIT License.
 
 #pragma once
+
+#if !defined(ORT_MINIMAL_BUILD)
+
 #include "core/common/common.h"
 #include "core/framework/op_kernel.h"
 
@@ -13,3 +16,5 @@ Status GetVectorAttrsOrDefault(const OpKernelInfo& info, const std::string& name
 
 }  // namespace ml
 }  // namespace onnxruntime
+
+#endif  // !defined(ORT_MINIMAL_BUILD)
diff --git a/onnxruntime/core/session/environment.cc b/onnxruntime/core/session/environment.cc
index 80a0cb673c19..318c76645bdf 100644
--- a/onnxruntime/core/session/environment.cc
+++ b/onnxruntime/core/session/environment.cc
@@ -240,12 +240,10 @@ Status Environment::Initialize(std::unique_ptr<logging::LoggingManager> logging_
 // Register contributed schemas.
 // The corresponding kernels are registered inside the appropriate execution provider.
 #ifndef DISABLE_CONTRIB_OPS
-#ifndef ORT_MINIMAL_BUILD
       RegisterOpSetSchema<contrib::OpSet_Microsoft_ver1>();
       RegisterOpSetSchema<contrib::OpSet_ONNX_Deprecated>();
       // internal opset that has NHWC versions of ONNX operators
       RegisterOpSetSchema<internal_nhwc_onnx::OpSet_Internal_NHWC_ONNX>();
-#endif
       contrib::RegisterContribSchemas();
 #endif
 
diff --git a/tools/ci_build/github/apple/test_minimal_training_ios_simulator_framework_build_settings.json b/tools/ci_build/github/apple/test_minimal_training_ios_simulator_framework_build_settings.json
new file mode 100644
index 000000000000..1a89d941e5e5
--- /dev/null
+++ b/tools/ci_build/github/apple/test_minimal_training_ios_simulator_framework_build_settings.json
@@ -0,0 +1,22 @@
+{
+  "build_osx_archs": {
+    "iphonesimulator": [
+      "x86_64"
+    ]
+  },
+  "build_params": {
+    "base": [
+      "--parallel",
+      "--use_xcode",
+      "--build_apple_framework",
+      "--minimal_build=extended",
+      "--enable_training_apis",
+      "--skip_tests",
+      "--cmake_extra_defines=onnxruntime_BUILD_UNIT_TESTS=OFF"
+    ],
+    "iphonesimulator": [
+      "--ios",
+      "--apple_deploy_target=12.0"
+    ]
+  }
+}
diff --git a/tools/ci_build/github/azure-pipelines/post-merge-jobs.yml b/tools/ci_build/github/azure-pipelines/post-merge-jobs.yml
index 5ee39876733e..df920b5a6216 100644
--- a/tools/ci_build/github/azure-pipelines/post-merge-jobs.yml
+++ b/tools/ci_build/github/azure-pipelines/post-merge-jobs.yml
@@ -462,6 +462,7 @@ stages:
     - template: templates/use-xcode-version.yml
       parameters:
         xcodeVersion: 14.3
+
     - script: |
         pip install -r tools/ci_build/github/apple/ios_packaging.requirements.txt
       displayName: "Install Python requirements"
@@ -478,4 +479,41 @@ stages:
           --framework_info_file "$(Build.BinariesDirectory)/ios_framework/xcframework_info.json" \
           --c_framework_dir "$(Build.BinariesDirectory)/ios_framework/framework_out" \
           --variant Mobile
-      displayName: "Test pod with iOS dynamic framework"
+      displayName: "Test pod with iOS framework"
+
+- stage: IosMinimalTrainingBuild
+  dependsOn: []
+  jobs:
+  - job: IosMinimalTrainingBuild
+    timeoutInMinutes: 120
+    pool:
+      vmImage: "macOS-13"
+
+    steps:
+    - task: UsePythonVersion@0
+      inputs:
+        versionSpec: "3.9"
+        addToPath: true
+        architecture: "x64"
+
+    - template: templates/use-xcode-version.yml
+      parameters:
+        xcodeVersion: 14.3
+
+    - script: |
+        pip install -r tools/ci_build/github/apple/ios_packaging.requirements.txt
+      displayName: "Install Python requirements"
+
+    - script: |
+        python tools/ci_build/github/apple/build_apple_framework.py \
+          --build_dir "$(Build.BinariesDirectory)/ios_framework" \
+          tools/ci_build/github/apple/test_minimal_training_ios_simulator_framework_build_settings.json
+      displayName: "Build iOS framework with minimal build and training enabled"
+
+    - script: |
+        python tools/ci_build/github/apple/test_apple_packages.py \
+          --framework_info_file "$(Build.BinariesDirectory)/ios_framework/xcframework_info.json" \
+          --c_framework_dir "$(Build.BinariesDirectory)/ios_framework/framework_out" \
+          --variant Training \
+          --skip_macos_test
+      displayName: "Test pod with iOS framework"