In April 2018, Cățe declared for the 2018 NBA draft.[2] During the 2019-20 season, he averaged 6.6 points and 3.5 rebounds per game. On 13 June 2020 Cățe re-signed with UCAM Murcia.[3]
On July 3, 2022, he signed with U-BT Cluj-Napoca of the Liga Națională.[4] On April 8, 2024, he was named to the All-EuroCup Second Team in which he was rewarded for his season in which he averaged 9 points and 4.4 rebounds pre game.[5]
Cățe plays for the Romanian national basketball team, which he participated with at the EuroBasket 2017.[7] At age 20, he appeared in five of the six group stage game of Romania, averaging 10.6 minutes and 1.0 point per game.