Tom Coughlin is hoping there is finally a thaw in the cold shoulder Jason Pierre-Paul has given the Giants ever since he nearly blew off his right hand in a July 4 fireworks accident.

General manager Jerry Reese revealed Monday he finally got Pierre-Paul on the phone and the head coach is viewing that development as a sign of progress.

“Hey, as long as he’s talking to Jerry or somebody in the building it looks like there’s a chance that the communication thing will open up,’’ Coughlin said after practice. “And when that does, I’ll end up on the phone with him, I’m sure.’’

Reese, in an interview on WFAN, said he had a “great conversation’’ with Pierre-Paul on Sunday, but did not offer any other details of the talk. He did add “nothing is set’’ as to what comes next for the Giants and JPP.

Pierre-Paul had to have his right index finger amputated after the accident and also suffered a fractured right thumb and severe burns. He refused to see Giants personnel who attempted to visit him in a Miami hospital and has rebuffed almost all attempts by the Giants to contact him.

Reese said: “We’re not pissed off, we’re not mad about it,’’ when asked about Pierre-Paul stiff-arming the team.

Reese on Sunday expressed great compassion for the “traumatic event’’ in Pierre-Paul’s life that is “life-changing for him.’’

Pierre-Paul has not yet signed his $14.8 million franchise tender and the financial considerations are believed to be the main reason he is keeping his distance from the Giants.

Co-owner John Mara said on WFAN that Pierre-Paul has spoken to Ronnie Barnes, the Giants’ senior vice president of medical services, and defensive line coach Robert Nunn, since the accident. Barnes and special assistant Jessie Armstead were turned away by Pierre-Paul in Miami.