Rossi provided an assist and two shots on goal in Saturday's 6-2 loss to the Predators.
The Wild held two separate leads before falling to Connor McDavid and the Oilers, losing Marcus Johansson along the way.
Rossi scored a power-play goal on four shots, added two hits and went minus-2 in Wednesday's 5-3 loss to the Oilers.
Minnesota Wild coach John Hynes relayed a message from injured star forward Kirill Kaprizov heading into Wednesday's game against the Edmonton Oilers.