The Arizona Diamondbacks selected Eveld in the ninth round, with 269th overall selection, of the 2016 Major League Baseball draft.[3] He made his professional debut that year with the Low–A Hillsboro Hops, going 2–1 with a 1.86 ERA in 29 relief innings pitched. In 2017, he had an 0.33 ERA and 14 saves for the Single–A Kane County Cougars before earning a midseason promotion to the High–A Visalia Rawhide. In 19 relief appearances for Visalia, he was 0–5 with a 5.73 ERA.[4] He began the 2018 season with Visalia[5] and was promoted to the Double–A Jackson Generals in July.
On July 31, 2018, Eveld was traded to the Miami Marlins in exchange for Brad Ziegler.[6] He was assigned to the Double–A Jacksonville Jumbo Shrimp and finished the year there. In 45 relief appearances between Visalia, Jackson, and Jacksonville, he was 4–3 with a 1.07 ERA and a 0.93 WHIP.[7] In 2019, Eveld split the year between Double-A Jacksonville and the Triple-A New Orleans Baby Cakes, posting a cumulative 5.11 ERA in 42 appearances. Eveld did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.[8]
Eveld split the 2021 season between Jacksonville and the Single-A Jupiter Hammerheads, logging a 3.33 ERA with 59 strikeouts in 38 games between the two teams. Eveld spent the majority of 2022 with Triple-A Jacksonville. In 23 games, he posted a 1–2 record and 3.38 ERA with 31 strikeouts in 34.2 innings pitched. He elected free agency following the season on November 10, 2022.[9]
On February 10, 2023, Eveld signed a minor league contract with the Cincinnati Reds organization.[10] He made 19 appearances for the Double–A Chattanooga Lookouts, as well as one appearance for the Triple–A Louisville Bats, and accumulated a 5.01 ERA with 38 strikeouts and 4 saves in 32+1⁄3 innings of work. Eveld was released by the Reds on July 9.[11]
Eveld has two brothers, Bobby and Wesley, and one sister, Tiffany. Bobby and Wesley played baseball for Jesuit and South Florida, while Bobby also played for their football teams.[12][1] Eveld's fiancé, Erica, played for the South Florida Bulls softball team.[12][13][14]