When he stepped down as Giants coach in a news conference on Tuesday, Tom Coughlin said he had not necessarily given up on being a football coach again. The Giants had offered Coughlin a front-office job.  But Coughlin is still entertaining thoughts of patrolling an N.F.L. sideline — and it could be one not too far from the Giants’ training complex.  On Monday, Coughlin, who will be 70 when the next season begins, will visit with the Philadelphia Eagles to talk about their vacant head coaching job, according to people familiar with Coughlin’s schedule who were not authorized to speak about it publicly. The meeting has been described as exploratory and not a formal interview.  The Eagles also interviewed Coughlin’s offensive coordinator with the Giants, Ben McAdoo, last week.  Coughlin’s departure Tuesday was amicable, with Coughlin and the Giants’ ownership and management getting together for a series of convivial meetings afterward in the team’s offices.  The Giants could have barred Coughlin from meeting with the Eagles. Because Coughlin has a year remaining on his current contract, Philadelphia had to ask permission from the Giants to talk to him. The Giants said they would not stand in Coughlin’s way, but if he were to become the Eagles’ head coach, the teams would have to negotiate some sort of settlement or compensation.  Coughlin has a past connection to the Eagles. For two seasons, beginning in 1984, he was the team’s wide receivers coach.  Meanwhile, the Giants are continuing their search for a new coach and have interviewed five candidates: McAdoo; Steve Spagnuolo, their defensive coordinator; Detroit’s offensive coordinator, Teryl Austin; theJacksonville assistant Doug Marrone; and Adam Gase, who was Chicago’s offensive coordinator. Gase, however, was named the coach of the Miami Dolphins on Saturday.  The Giants’ coaching interviews will continue on Monday when team officials meet with the former Atlanta Falcons coach Mike Smith. They may be forced to take a break after Monday because John Mara will be attending an owners’ meeting in Houston midweek.
The former Giants coach is said to have a meeting scheduled with his longtime division rival Philadelphia for an informal discussion about its vacancy.