Taillion gets $2.25 million, Feliz $1 million and Gonzalez $1,225,000.
The Pirates also declined to offer a contract to reliever Clay Holmes and assigned catcher Will Craig outright to Triple-A Indianapolis.
Taillon, a former first-round draft pick, is expected to return in 2021 after missing most of the past two years following Tommy John surgery. The Pirates are relying on Taillon to anchor a starting rotation that will have a new look next year after the team cut ties with Trevor Williams.
Feliz pitched in just three games during the abbreviated 2020 season due to a forearm injury. He could be in the mix to find a role at the back end of the bullpen.
Gonzalez faded after a hot start but drove in a career-high 20 runs last season while hitting .227 in 50 games for Pittsburgh, which finished with the worst record in the majors at 19-41.
Holmes appeared in just one game for the Pirates last season before being shut down with a forearm issue. He went 2-5 with a 5.91 ERA in 47 games for Pittsburgh from 2018 to '20.