diff --git a/server/src/main/java/org/opensearch/index/store/remote/file/OnDemandBlockSnapshotIndexInput.java b/server/src/main/java/org/opensearch/index/store/remote/file/OnDemandBlockSnapshotIndexInput.java
index b3f8ee9c1817e..7166e9aa482e3 100644
--- a/server/src/main/java/org/opensearch/index/store/remote/file/OnDemandBlockSnapshotIndexInput.java
+++ b/server/src/main/java/org/opensearch/index/store/remote/file/OnDemandBlockSnapshotIndexInput.java
@@ -8,8 +8,6 @@
 
 package org.opensearch.index.store.remote.file;
 
-import org.apache.logging.log4j.LogManager;
-import org.apache.logging.log4j.Logger;
 import org.apache.lucene.store.FSDirectory;
 import org.apache.lucene.store.IndexInput;
 import org.opensearch.index.snapshots.blobstore.BlobStoreIndexShardSnapshot.FileInfo;
@@ -26,8 +24,6 @@
  * @opensearch.internal
  */
 public class OnDemandBlockSnapshotIndexInput extends OnDemandBlockIndexInput {
-    private static final Logger logger = LogManager.getLogger(OnDemandBlockSnapshotIndexInput.class);
-
     /**
      * Where this class fetches IndexInput parts from
      */
@@ -48,7 +44,7 @@ public class OnDemandBlockSnapshotIndexInput extends OnDemandBlockIndexInput {
     protected final String fileName;
 
     /**
-     * part size  in bytes
+     * Maximum size in bytes of snapshot file parts.
      */
     protected final long partSize;
 
@@ -104,7 +100,15 @@ public OnDemandBlockSnapshotIndexInput(
         super(builder);
         this.transferManager = transferManager;
         this.fileInfo = fileInfo;
-        this.partSize = fileInfo.partSize().getBytes();
+        if (fileInfo.partSize() != null) {
+            this.partSize = fileInfo.partSize().getBytes();
+        } else {
+            // Repository implementations can define a size at which to split files
+            // into multiple objects in the repository. If partSize() is null, then
+            // no splitting happens, so default to Long.MAX_VALUE here to have the
+            // same effect. See {@code BlobStoreRepository#chunkSize()}.
+            this.partSize = Long.MAX_VALUE;
+        }
         this.fileName = fileInfo.physicalName();
         this.directory = directory;
         this.originalFileSize = fileInfo.length();
@@ -131,6 +135,10 @@ protected IndexInput fetchBlock(int blockId) throws IOException {
 
         final long blockStart = getBlockStart(blockId);
         final long blockEnd = blockStart + getActualBlockSize(blockId);
+
+        // If the snapshot file is chunked, we must account for this by
+        // choosing the appropriate file part and updating the position
+        // accordingly.
         final int part = (int) (blockStart / partSize);
         final long partStart = part * partSize;
 
diff --git a/server/src/test/java/org/opensearch/index/store/remote/file/OnDemandBlockSnapshotIndexInputTests.java b/server/src/test/java/org/opensearch/index/store/remote/file/OnDemandBlockSnapshotIndexInputTests.java
index a04feea3bb8e5..2204124f1de4f 100644
--- a/server/src/test/java/org/opensearch/index/store/remote/file/OnDemandBlockSnapshotIndexInputTests.java
+++ b/server/src/test/java/org/opensearch/index/store/remote/file/OnDemandBlockSnapshotIndexInputTests.java
@@ -19,6 +19,8 @@
 import org.apache.lucene.store.SimpleFSLockFactory;
 import org.apache.lucene.util.Constants;
 import org.apache.lucene.util.Version;
+import org.opensearch.common.lucene.store.ByteArrayIndexInput;
+import org.opensearch.core.common.unit.ByteSizeUnit;
 import org.opensearch.core.common.unit.ByteSizeValue;
 import org.opensearch.index.snapshots.blobstore.BlobStoreIndexShardSnapshot;
 import org.opensearch.index.store.StoreFileMetadata;
@@ -31,9 +33,12 @@
 import java.io.IOException;
 import java.nio.file.Path;
 
+import static org.mockito.ArgumentMatchers.argThat;
 import static org.mockito.Mockito.any;
 import static org.mockito.Mockito.doAnswer;
 import static org.mockito.Mockito.mock;
+import static org.mockito.Mockito.verify;
+import static org.mockito.Mockito.when;
 
 @ThreadLeakFilters(filters = CleanerDaemonThreadLeakFilter.class)
 public class OnDemandBlockSnapshotIndexInputTests extends OpenSearchTestCase {
@@ -43,7 +48,6 @@ public class OnDemandBlockSnapshotIndexInputTests extends OpenSearchTestCase {
     private static final String FILE_NAME = "File_Name";
     private static final String BLOCK_FILE_PREFIX = FILE_NAME;
     private static final boolean IS_CLONE = false;
-    private static final ByteSizeValue BYTE_SIZE_VALUE = new ByteSizeValue(1L);
     private static final int FILE_SIZE = 29360128;
     private TransferManager transferManager;
     private LockFactory lockFactory;
@@ -74,7 +78,38 @@ public void test4MBBlock() throws Exception {
         runAllTestsFor(22);
     }
 
-    public void runAllTestsFor(int blockSizeShift) throws Exception {
+    public void testChunkedRepository() throws IOException {
+        final long blockSize = new ByteSizeValue(1, ByteSizeUnit.KB).getBytes();
+        final long repositoryChunkSize = new ByteSizeValue(2, ByteSizeUnit.KB).getBytes();
+        final long fileSize = new ByteSizeValue(3, ByteSizeUnit.KB).getBytes();
+
+        when(transferManager.fetchBlob(any())).thenReturn(new ByteArrayIndexInput("test", new byte[(int) blockSize]));
+        try (
+            FSDirectory directory = new MMapDirectory(path, lockFactory);
+            IndexInput indexInput = new OnDemandBlockSnapshotIndexInput(
+                OnDemandBlockIndexInput.builder()
+                    .resourceDescription(RESOURCE_DESCRIPTION)
+                    .offset(BLOCK_SNAPSHOT_FILE_OFFSET)
+                    .length(FILE_SIZE)
+                    .blockSizeShift((int) (Math.log(blockSize) / Math.log(2)))
+                    .isClone(IS_CLONE),
+                new BlobStoreIndexShardSnapshot.FileInfo(
+                    FILE_NAME,
+                    new StoreFileMetadata(FILE_NAME, fileSize, "", Version.LATEST),
+                    new ByteSizeValue(repositoryChunkSize)
+                ),
+                directory,
+                transferManager
+            )
+        ) {
+            // Seek to the position past the first repository chunk
+            indexInput.seek(repositoryChunkSize);
+        }
+        // Verify the second chunk is requested (i.e. ".part1")
+        verify(transferManager).fetchBlob(argThat(request -> request.getBlobName().equals("File_Name.part1")));
+    }
+
+    private void runAllTestsFor(int blockSizeShift) throws Exception {
         final OnDemandBlockSnapshotIndexInput blockedSnapshotFile = createOnDemandBlockSnapshotIndexInput(blockSizeShift);
         final int blockSize = 1 << blockSizeShift;
         TestGroup.testGetBlock(blockedSnapshotFile, blockSize, FILE_SIZE);
@@ -106,7 +141,7 @@ private OnDemandBlockSnapshotIndexInput createOnDemandBlockSnapshotIndexInput(in
         fileInfo = new BlobStoreIndexShardSnapshot.FileInfo(
             FILE_NAME,
             new StoreFileMetadata(FILE_NAME, FILE_SIZE, "", Version.LATEST),
-            BYTE_SIZE_VALUE
+            null
         );
 
         int blockSize = 1 << blockSizeShift;
@@ -182,7 +217,7 @@ private void initBlockFiles(int blockSize, FSDirectory fsDirectory) {
 
     }
 
-    public static class TestGroup {
+    private static class TestGroup {
 
         public static void testGetBlock(OnDemandBlockSnapshotIndexInput blockedSnapshotFile, int blockSize, int fileSize) {
             // block 0