diff --git a/llvm/test/tools/llvm-reduce/remove-dll.ll b/llvm/test/tools/llvm-reduce/remove-dll.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/tools/llvm-reduce/remove-dll.ll
@@ -0,0 +1,10 @@
+; RUN: llvm-reduce --abort-on-invalid-reduction --delta-passes=global-values --test FileCheck --test-arg --check-prefixes=CHECK-INTERESTINGNESS --test-arg %s --test-arg --input-file %s -o %t
+; RUN: FileCheck --check-prefix=CHECK-FINAL %s --input-file=%t
+
+; CHECK-INTERESTINGNESS: @g = external {{.*}}global i32
+; CHECK-FINAL: @g = external global i32
+; CHECK-INTERESTINGNESS: @h = external {{.*}}global i32
+; CHECK-FINAL: @h = external global i32
+
+@g = external dllimport global i32
+@h = external dllexport global i32
diff --git a/llvm/test/tools/llvm-reduce/remove-thread-local.ll b/llvm/test/tools/llvm-reduce/remove-thread-local.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/tools/llvm-reduce/remove-thread-local.ll
@@ -0,0 +1,7 @@
+; RUN: llvm-reduce --abort-on-invalid-reduction --delta-passes=global-values --test FileCheck --test-arg --check-prefixes=CHECK-INTERESTINGNESS --test-arg %s --test-arg --input-file %s -o %t
+; RUN: FileCheck --check-prefix=CHECK-FINAL %s --input-file=%t
+
+; CHECK-INTERESTINGNESS: @g = {{.*}}global i32
+; CHECK-FINAL: @g = global i32
+
+@g = thread_local(initialexec) global i32 0
diff --git a/llvm/test/tools/llvm-reduce/remove-unnamed-addr.ll b/llvm/test/tools/llvm-reduce/remove-unnamed-addr.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/tools/llvm-reduce/remove-unnamed-addr.ll
@@ -0,0 +1,7 @@
+; RUN: llvm-reduce --abort-on-invalid-reduction --delta-passes=global-values --test FileCheck --test-arg --check-prefixes=CHECK-INTERESTINGNESS --test-arg %s --test-arg --input-file %s -o %t
+; RUN: FileCheck --check-prefix=CHECK-FINAL %s --input-file=%t
+
+; CHECK-INTERESTINGNESS: @g = {{.*}}global i32
+; CHECK-FINAL: @g = global i32
+
+@g = unnamed_addr global i32 0
diff --git a/llvm/test/tools/llvm-reduce/remove-visibility.ll b/llvm/test/tools/llvm-reduce/remove-visibility.ll
new file mode 100644
--- /dev/null
+++ b/llvm/test/tools/llvm-reduce/remove-visibility.ll
@@ -0,0 +1,7 @@
+; RUN: llvm-reduce --abort-on-invalid-reduction --delta-passes=global-values --test FileCheck --test-arg --check-prefixes=CHECK-INTERESTINGNESS --test-arg %s --test-arg --input-file %s -o %t
+; RUN: FileCheck --check-prefix=CHECK-FINAL %s --input-file=%t
+
+; CHECK-INTERESTINGNESS: @g = {{.*}}global i32
+; CHECK-FINAL: @g = global i32
+
+@g = hidden global i32 0
diff --git a/llvm/tools/llvm-reduce/deltas/ReduceGlobalValues.cpp b/llvm/tools/llvm-reduce/deltas/ReduceGlobalValues.cpp
--- a/llvm/tools/llvm-reduce/deltas/ReduceGlobalValues.cpp
+++ b/llvm/tools/llvm-reduce/deltas/ReduceGlobalValues.cpp
@@ -12,40 +12,73 @@
 //===----------------------------------------------------------------------===//
 
 #include "ReduceGlobalValues.h"
-#include "llvm/IR/Constants.h"
 #include "llvm/IR/GlobalValue.h"
 
 using namespace llvm;
 
-static bool isValidDSOLocalReductionGV(GlobalValue &GV) {
+static bool shouldReduceDSOLocal(GlobalValue &GV) {
   return GV.isDSOLocal() && !GV.isImplicitDSOLocal();
 }
 
-/// Sets dso_local to false for all global values.
-static void extractGVsFromModule(Oracle &O, Module &Program) {
-  // remove dso_local from global values
-  for (auto &GV : Program.global_values())
-    if (isValidDSOLocalReductionGV(GV) && !O.shouldKeep()) {
+static bool shouldReduceVisibility(GlobalValue &GV) {
+  return GV.getVisibility() != GlobalValue::VisibilityTypes::DefaultVisibility;
+}
+
+static bool shouldReduceUnnamedAddress(GlobalValue &GV) {
+  return GV.getUnnamedAddr() != GlobalValue::UnnamedAddr::None;
+}
+
+static bool shouldReduceDLLStorageClass(GlobalValue &GV) {
+  return GV.getDLLStorageClass() !=
+         GlobalValue::DLLStorageClassTypes::DefaultStorageClass;
+}
+
+static bool shouldReduceThreadLocal(GlobalValue &GV) {
+  return GV.isThreadLocal();
+}
+
+static void reduceGVs(Oracle &O, Module &Program) {
+  for (auto &GV : Program.global_values()) {
+    if (shouldReduceDSOLocal(GV) && !O.shouldKeep())
       GV.setDSOLocal(false);
+    if (shouldReduceVisibility(GV) && !O.shouldKeep()) {
+      bool IsImplicitDSOLocal = GV.isImplicitDSOLocal();
+      GV.setVisibility(GlobalValue::VisibilityTypes::DefaultVisibility);
+      if (IsImplicitDSOLocal)
+        GV.setDSOLocal(false);
     }
+    if (shouldReduceUnnamedAddress(GV) && !O.shouldKeep())
+      GV.setUnnamedAddr(GlobalValue::UnnamedAddr::None);
+    if (shouldReduceDLLStorageClass(GV) && !O.shouldKeep())
+      GV.setDLLStorageClass(
+          GlobalValue::DLLStorageClassTypes::DefaultStorageClass);
+    if (shouldReduceThreadLocal(GV) && !O.shouldKeep())
+      GV.setThreadLocal(false);
+  }
 }
 
-/// Counts the amount of global values with dso_local and displays their
-/// respective name & index
 static int countGVs(Module &Program) {
-  // TODO: Silence index with --quiet flag
-  outs() << "----------------------------\n";
-  outs() << "GlobalValue Index Reference:\n";
-  int GVCount = 0;
-  for (auto &GV : Program.global_values())
-    if (isValidDSOLocalReductionGV(GV))
-      outs() << "\t" << ++GVCount << ": " << GV.getName() << "\n";
-  outs() << "----------------------------\n";
-  return GVCount;
+  int DSOLocalCount = count_if(Program.global_values(), [](GlobalValue &GV) {
+    return shouldReduceDSOLocal(GV);
+  });
+  int VisibilityCount = count_if(Program.global_values(), [](GlobalValue &GV) {
+    return shouldReduceVisibility(GV);
+  });
+  int UnnamedAddrCount = count_if(Program.global_values(), [](GlobalValue &GV) {
+    return shouldReduceUnnamedAddress(GV);
+  });
+  int DLLStorageClassCount =
+      count_if(Program.global_values(),
+               [](GlobalValue &GV) { return shouldReduceDLLStorageClass(GV); });
+  int ThreadLocalCount = count_if(Program.global_values(), [](GlobalValue &GV) {
+    return shouldReduceThreadLocal(GV);
+  });
+  return DSOLocalCount + VisibilityCount + UnnamedAddrCount +
+         DLLStorageClassCount + ThreadLocalCount;
 }
 
 void llvm::reduceGlobalValuesDeltaPass(TestRunner &Test) {
   outs() << "*** Reducing GlobalValues...\n";
   int GVCount = countGVs(Test.getProgram());
-  runDeltaPass(Test, GVCount, extractGVsFromModule);
+  runDeltaPass(Test, GVCount, reduceGVs);
 }