According to Sport Mediaset, the Biscione could attempt to bring in the 28-year-old Italian international before the window closes in an effort to strengthen their squad and give themselves the best chance of returning to previous successes this season.
Eder has been at Sampdoria since 2012, scoring 39 goals in 117 games and helping them finish in seventh place in the Serie A table last term.
Before joining the Blucerchiati, he had two different spells at Empoli as well as playing for Frosinone, Brescia and Cesena.