diff --git a/mlir/lib/Target/LLVMIR/ModuleTranslation.cpp b/mlir/lib/Target/LLVMIR/ModuleTranslation.cpp
--- a/mlir/lib/Target/LLVMIR/ModuleTranslation.cpp
+++ b/mlir/lib/Target/LLVMIR/ModuleTranslation.cpp
@@ -1388,6 +1388,15 @@
   LLVM::ensureDistinctSuccessors(module);
 
   ModuleTranslation translator(module, std::move(llvmModule));
+  llvm::IRBuilder<> llvmBuilder(llvmContext);
+
+  // Convert module before functions and operations inside, so dialect
+  // attributes can be used to change dialect-specific global configurations via
+  // `amendOperation()`. These configurations can then influence the translation
+  // of operations afterwards.
+  if (failed(translator.convertOperation(*module, llvmBuilder)))
+    return nullptr;
+
   if (failed(translator.convertComdats()))
     return nullptr;
   if (failed(translator.convertFunctionSignatures()))
@@ -1400,7 +1409,6 @@
     return nullptr;
 
   // Convert other top-level operations if possible.
-  llvm::IRBuilder<> llvmBuilder(llvmContext);
   for (Operation &o : getModuleBody(module).getOperations()) {
     if (!isa<LLVM::LLVMFuncOp, LLVM::GlobalOp, LLVM::GlobalCtorsOp,
              LLVM::GlobalDtorsOp, LLVM::ComdatOp>(&o) &&
@@ -1416,10 +1424,6 @@
   if (failed(translator.convertFunctions()))
     return nullptr;
 
-  // Convert module itself.
-  if (failed(translator.convertOperation(*module, llvmBuilder)))
-    return nullptr;
-
   if (llvm::verifyModule(*translator.llvmModule, &llvm::errs()))
     return nullptr;