diff --git a/packages/csvviewer/src/model.ts b/packages/csvviewer/src/model.ts
index 5a1cd6faea8b..36b5b1b35620 100644
--- a/packages/csvviewer/src/model.ts
+++ b/packages/csvviewer/src/model.ts
@@ -423,21 +423,25 @@ export class DSVModel extends DataModel implements IDisposable {
       }).ncols;
     }
 
-    // Parse the data up to and including the requested row, starting from the
-    // last row offset we have.
+    // `reparse` is the number of rows we are requesting to parse over again.
+    // We generally start at the beginning of the last row offset, so that the
+    // first row offset returned is the same as the last row offset we already
+    // have. We parse the data up to and including the requested row.
+    const reparse = this._rowCount! > 0 ? 1 : 0;
     const { nrows, offsets } = PARSERS[this._parser]({
       data: this._rawData,
-      startIndex: this._rowOffsets[this._rowCount! - 1],
+      startIndex: this._rowOffsets[this._rowCount! - reparse] ?? 0,
       delimiter: this._delimiter,
       rowDelimiter: this._rowDelimiter,
       quote: this._quote,
       columnOffsets: false,
-      maxRows: endRow - this._rowCount! + 1
+      maxRows: endRow - this._rowCount! + reparse
     });
 
-    // Return if we didn't actually get any new rows beyond the one we've
-    // already parsed.
-    if (this._startedParsing && nrows <= 1) {
+    // If we have already set up our initial bookkeeping, return early if we
+    // did not get any new rows beyond the last row that we've parsed, i.e.,
+    // nrows===1.
+    if (this._startedParsing && (nrows <= reparse)) {
       this._doneParsing = true;
       this._ready.resolve(undefined);
       return;
@@ -445,9 +449,10 @@ export class DSVModel extends DataModel implements IDisposable {
 
     this._startedParsing = true;
 
-    // Update the row count.
+    // Update the row count, accounting for how many rows were reparsed.
     const oldRowCount = this._rowCount!;
-    this._rowCount = oldRowCount + nrows - 1;
+    const duplicateRows = Math.min(nrows, reparse);
+    this._rowCount = oldRowCount + nrows - duplicateRows;
 
     // If we didn't reach the requested row, we must be done.
     if (this._rowCount < endRow) {
@@ -455,11 +460,13 @@ export class DSVModel extends DataModel implements IDisposable {
       this._ready.resolve(undefined);
     }
 
-    // Copy the new offsets into a new row offset array.
-    const oldRowOffsets = this._rowOffsets;
-    this._rowOffsets = new Uint32Array(this._rowCount);
-    this._rowOffsets.set(oldRowOffsets);
-    this._rowOffsets.set(offsets, oldRowCount - 1);
+    // Copy the new offsets into a new row offset array if needed.
+    if (this._rowCount > oldRowCount) {
+      const oldRowOffsets = this._rowOffsets;
+      this._rowOffsets = new Uint32Array(this._rowCount);
+      this._rowOffsets.set(oldRowOffsets);
+      this._rowOffsets.set(offsets, oldRowCount - duplicateRows);
+    }
 
     // Expand the column offsets array if needed
 
@@ -596,9 +603,8 @@ export class DSVModel extends DataModel implements IDisposable {
   private _resetParser(): void {
     this._columnCount = undefined;
 
-    // First row offset is *always* 0, so we always have the first row offset.
-    this._rowOffsets = new Uint32Array(1);
-    this._rowCount = 1;
+    this._rowOffsets = new Uint32Array(0);
+    this._rowCount = 0;
     this._startedParsing = false;
 
     this._columnOffsets = new Uint32Array(0);
@@ -631,7 +637,7 @@ export class DSVModel extends DataModel implements IDisposable {
 
   // Data values
   private _rawData: string;
-  private _rowCount: number | undefined = 1;
+  private _rowCount: number | undefined = 0;
   private _columnCount: number | undefined;
 
   // Cache information
@@ -658,7 +664,7 @@ export class DSVModel extends DataModel implements IDisposable {
   /**
    * The index for the start of each row.
    */
-  private _rowOffsets: Uint32Array = new Uint32Array(1);
+  private _rowOffsets: Uint32Array = new Uint32Array(0);
   /**
    * The number of rows to parse initially before doing a delayed parse of the
    * entire data.
diff --git a/packages/csvviewer/test/model.spec.ts b/packages/csvviewer/test/model.spec.ts
index 85187cdc232f..743b2615a397 100644
--- a/packages/csvviewer/test/model.spec.ts
+++ b/packages/csvviewer/test/model.spec.ts
@@ -19,7 +19,7 @@ const CSV_TEST_FILES = [
   ],
 
   [
-    'empty',
+    'empty_values',
     readCSV('csv-spectrum/csvs/empty.csv'),
     require('csv-spectrum/json/empty.json')
   ],
@@ -30,6 +30,8 @@ const CSV_TEST_FILES = [
     require('csv-spectrum/json/empty_crlf.json')
   ],
 
+  ['empty_file', '', []],
+
   [
     'escaped_quotes',
     readCSV('csv-spectrum/csvs/escaped_quotes.csv'),
diff --git a/packages/csvviewer/test/parse.spec.ts b/packages/csvviewer/test/parse.spec.ts
index c671a78a99f4..7266c0392438 100644
--- a/packages/csvviewer/test/parse.spec.ts
+++ b/packages/csvviewer/test/parse.spec.ts
@@ -436,6 +436,21 @@ describe('csvviewer/parse', () => {
       expect(results.ncols).toEqual(3);
       expect(results.offsets).toEqual([0, 2, 5]);
     });
+
+    it('handles empty file', () => {
+      const data = ``;
+      const options = { data, rowDelimiter: '\n' };
+      let results;
+
+      results = parser({ ...options, columnOffsets: false });
+      expect(results.nrows).toEqual(0);
+      expect(results.offsets).toEqual([]);
+
+      results = parser({ ...options, columnOffsets: true });
+      expect(results.nrows).toEqual(0);
+      expect(results.ncols).toEqual(0);
+      expect(results.offsets).toEqual([]);
+    });
   });
 });