"The only thing in my mind really is security for me and my family," Stralman told the New York Post on Monday. "We've been moving a lot -- four teams in seven years. All we're really looking for is stability, to stay in one place. This is obviously where we want. I'd like to stay. I hope it can happen. We'll see."
According to the Post, Stralman could see his next annual salary in the $4 million to $5 million range.
Boyle could be looking for a two- or three-year deal in between $3 million to $4 million per season, the Post suggests.
"I know what my role would be coming back here," Boyle told the paper. "In the playoffs and on a team that's going to win in May and June, it's an important role. But everybody wants to score more goals."
The Rangers, meanwhile, are expected to buy out the contract of center Brad Richards. An announcement could be made later this week.