On July 30, 2018, Chivilli signed with the Colorado Rockies as an international free agent.
Chivilli did not play in a game in 2020 due to the cancellation of the minor league season because of the COVID-19 pandemic.
[2] Chivilli returned to the DSL Rockies in 2021, recording a 3.49 ERA and 45 strikeouts across 11 games (8 starts).
[3] He split the 2022 campaign between the rookie–level Arizona Complex League Rockies and Single–A Fresno Grizzlies.
In 32 games out of the bullpen for the two affiliates, Chivilli accumulated a 2.21 ERA with 51 strikeouts across 40+2⁄3 innings pitched.