Air Carrier flight crew reported inadvertently failed to comply with the Dry Ice handling requirements while transporting Dry Ice. Flight continued to destination safely.

Narrative

We were operating a B767 with MEL 21-XX-XX-XX for an inoperative left pack auto control mode. The MEL says that 'One or both may be inoperative provided associated Standby Mode operates normally.' So we were running the pack in standby N in accordance with the MEL. Later during our preflight we found out that we were going to be operating under supplemental Dry Ice procedures. While completing the Dry Ice Supplemental QRH procedure; we might have misinterpreted the the procedure and we failed to realize that maybe we were supposed have the Left Pack Control Selector in AUTO. Which we would not have been able to do because of the MEL. We complied with the rest of the QRH procedure and the flight was uneventful. We were later contacted by the next crew that took the airplane and they told us that we may have missed something between the MEL and Dry Ice Supplemental QRH procedure. This event happened because we had an MEL that might have kept us from properly applying the Dry Ice Supplemental QRH Procedure and we failed to realize that while completing the QRH procedure.We could have been more methodical while completing the QRH procedure; and then maybe we would have had additional questions about the relationship between the MEL and QRH procedure. Also a note in the MEL about not being able to do Dry Ice Supplemental Procedures would help.