Kahun, 24, is on the final year of his contract and will become a restricted free agent July 1. He's tallied 10 goals and 27 points through 50 games this season, his first with the Penguins.
Rodrigues, 26, inked a one-year deal with the Sabres last summer and is set to hit restricted free agency at season's end. The 5-foot-11 winger asked to be traded in December, per TSN's Darren Dreger. He's tallied five goals and nine points through 38 games in 2019-20.
The 27-year-old Sheary has contributed nine goals and 19 points across 55 games this season. The speedy winger spent his first three NHL campaigns with the Penguins after signing ahead of the 2015-16 season. He's a pending unrestricted free agent.
Penguins general manager Jim Rutherford has been busy as the deadline approaches. The Penguins acquired forward Jason Zucker from the Minnesota Wild earlier in February and veteran Patrick Marleau from the San Jose Sharks on Monday morning.