Capitals forwards Nicklas Backstrom, Nic Dowd and Anthony Mantha were among those who consoled Oshie after.
"I saw he got emotional there at the end, which is understandable," Backstrom said. "I felt like he needed a hug. I think I told him 'You are the strongest person I know.'
"It's got to be so tough. I can only imagine. ... We are a family. We are in this together. His loss is everyone's loss. We feel for him."
"To go through what he went through and to want to be back here, get with his teammates and play and to play a game for Coach and to the game that he played, outstanding," Capitals coach Peter Laviolette said. "It says a lot about him and what he means to this team."
Oshie shared his gratitude for the Backstrom's and the rest of the Capitals' support after the game.