Coughlin is the sixth candidate the Eagles have interviewed for their head coaching vacancy.
The Eagles are seeking a replacement for Chip Kelly, who was fired with one week remaining in the season by owner Jeffrey Lurie.
According to reports, the San Francisco 49ers have received permission from the Giants to also interview the 69-year-old coach this week.
Coughlin stepped down with one year left on his contract last Monday after 12 seasons with the Giants and a 102-90 record, including 8-3 in the playoffs with two Super Bowl victories.
Coughlin did not use the word retirement or resignation at his press conference last Tuesday. He said he will find a way to stay involved in the game and with players, because his wife wouldn't want him home for more than 48 hours.
"What's next for this guy Coughlin? I don't exactly know. I know we will dedicate time to the Jay Fund foundation," Coughlin said Tuesday. "We are there to help families of children who have cancer."
Pederson is considered a top candidate for the Eagles' job. Pederson has spent the last three seasons as the Chiefs' offensive coordinator on head coach Andy Reid's staff.
The Eagles also interviewed Coughlin's former offensive coordinator Ben McAdoo. In addition, interim head coach Pat Shurmur and running backs coach Duce Staley from inside the organization were interviewed and the Eagles spoke to new Miami Dolphins head coach Adam Gase before he was hired on Saturday.