The Yankees are continuing their evaluation of Diamondbacks LHP Patrick Corbin, according to ESPN's Buster Olney.
New York, which signed LHP CC Sabathia to a one-year deal over the weekend, have examined several players on the trade market to bolster their rotation, and Corbin is among three players it has considered.
Corbin, 28, is set to become a free agent after the 2018 season. Last year, he went 14-13 with a 4.03 ERA in 33 games (32 starts).
Fulmer, 24, is under team control until 2022, however is considered one of the costliest options on the trade market. After winning American League Rookie of the Year in 2016, Fulmer went 10-12 with a 3.83 ERA in 25 starts last season.
Cole, who can be a free agent in 2020, has been a player in which the Yankees have showed interest for years, however the Pirates would reportedly ask for top prospect Gleyber Torres in return.
Cole, 27, went 12-12 with a 4.26 ERA in 33 starts last year.