Baltimore Orioles Vespi played
college baseball at
Palm Beach State College. He was drafted by the
Baltimore Orioles in the 18th round of the
2015 MLB draft. Vespi made his professional debut with the
Gulf Coast Orioles. He split the 2016 season with the GCL Orioles and Low-A
Aberdeen IronBirds, registering a 5-1 record and 1.88 ERA with 41 strikeouts in innings pitched across 13 games (10 starts). In 2017, Vespi split time between Aberdeen and the Single-A
Delmarva Shorebirds, posting a 4-3 record and 4.41 ERA with 69 strikeouts in 49 innings of work. Vespi spent the following two seasons with Single–A Delmarva. In 2018, he logged a 6–6 record and 2.09 ERA with 68 strikeouts and 9
saves across innings. In 2019, Vespi logged an 8–6 record and 3.16 ERA with a career–high 100 strikeouts in 91 innings pitched. He did not play in a game in 2020 due to the cancellation of the minor league season because of the
COVID-19 pandemic. Vespi returned to action in 2021, recording a 4.19 ERA with 51 strikeouts in 30 relief outings for Norfolk and the Double–A
Bowie Baysox. Vespi was called up to the majors for the first time on May 17, 2022. Vespi made his Major League debut on May 20, pitching two innings for the Orioles in an extra innings game against the
Tampa Bay Rays, striking out three, giving up no runs, and being credited with his first career MLB win. He made 25 total appearances for the Orioles in 2022, logging a 5-0 record 4.10 ERA with 28 strikeouts across 26.1 innings pitched. On January 5, 2023, Vespi underwent hernia surgery. Vespi was optioned to the Triple-A
Norfolk Tides to begin the 2023 season. In 9 appearances for the Orioles, he recorded a 4.30 ERA with 9 strikeouts across innings pitched. Vespi started the 2024 season in Norfolk before being called up and sent down multiple times. In 11 games for Baltimore, he recorded a 2.92 ERA with 9 strikeouts across innings of work. Vespi was
designated for assignment following the acquisition of
Brooks Kriske on August 25, 2024. He cleared waivers and was sent outright to Norfolk on September 1. Vespi elected free agency following the season on November 4.
Philadelphia Phillies On December 19, 2024, Vespi signed a minor league contract with the
Philadelphia Phillies. In 20 appearances for the Triple-A
Lehigh Valley IronPigs, he struggled to a 7.85 ERA with 13 strikeouts and one save across innings pitched. Vespi was released by the Phillies organization on June 22, 2025.
Diablos Rojos del México On July 1, 2025, Vespi signed with the
Diablos Rojos del México of the
Mexican League. He made 16 appearances for the Diablos, posting a 3-0 record and 1.17 ERA with 17 strikeouts across innings pitched. With the team, Vespi won the
Serie del Rey. ==International career==