The west London club have already lost Andrew Johnson and Pavel Pogrebnyak this summer but could be set to bring the Juventus striker to Craven Cottage as a replacement
The forward, whose contract is set to expire at the end of the season, has reportedly been told that he can leave Turin this summer.
And his agent has stated that the Italian is considering a number of options, but the west London club are a "concrete possibility" for the 32-year-old.
"We are verifying a number of different options for Iaquinta in Italy, but especially in England," Andrea D'Amico told Calcio Sport 24.
"Fulham? That is a concrete possibility."
The former Udinese player did not play a single minute for Juve last season, and was loaned out to Cesena in January where he scored once in seven appearances.
Fulham have lost three strikers so far this summer, with Andrew Johnson joining QPR on a free transfer, Pavel Pogrebnyak choosing to join Reading despite his successful loan spell with the Cottagers and Orlando Sa terminating his contract by mutual consent.
However, Croatian striker Mladen Petric and former Wigan man Hugo Rodallega have boosted the forward ranks after agreeing to join Martin Jol's side.
Meanwhile, speculation continues to suggest that star man Clint Dempsey could leave the club, with Liverpool among those interested in securing the American's signature.