Kalai started his football career at CAS Escaudoeuvres,[2] before he joined Cambrai at the age of eight. Later, he moved to Valenciennes as an under-14 player.[3] Kalai stayed at Valenciennes for two years, before returning to Cambrai in 2016.[3] In January 2018, Kalai was promoted to Cambrai's first team, playing in the Régional 1.[3]
In July 2020, Kalai joined Belgian club UR La Louvière.[4] From the 2021–22 season, he returned to Valenciennes, where he started on the club's reserve team, playing in the Championnat National 3.[5] However, on 8 January 2022, Kalai got his professional debut for Valenciennes in Ligue 2 in a game against Guingamp, where he came on from the bench for the last minute.[6] On 1 September 2022, Kalai joined Wasquehal on loan until the end of the season.[7]
During the first six months of the 2023-24 season, Kalai made two appearances in Ligue 1 and one in the cup for Valenciennes. In search of more playing time, Kalai returned to his former club, Wasquehal, on a loan deal at the end of January 2024.[8] However, it was revealed the following day that the French Football Federation (FFF) had blocked the transfer for unknown reasons, meaning Kalai had to stay at Valenciennes.[9]