I may have misinterpreted your words.

Meaning

I might have understood you incorrectly.

Examples

• John: 'I thought you said we were canceling the meeting.'
• Alice: '<b>I may have misinterpreted your words</b>. I said we were postponing it.'
• John: '<b>I may have misinterpreted your words</b>. I needed more time to review it.'
• Alice: 'I thought you agreed to the proposal.'