He did not feature in any senior games in the next season as Viitorul won the first league title in its history, but started appearing frequently for the side since the summer of 2017. On 24 August that year, Băluță recorded his European debut in a UEFA Europa League play-off round 0–4 loss to Red Bull Salzburg.[4] On 30 August 2018, he scored his first goal—and the only of the match—in a league win over Astra Giurgiu.[5]
Brighton & Hove Albion
Băluță agreed to a three-and-a-half-year contract with English club Brighton & Hove Albion on 31 January 2019.[6] Băluță was immediately loaned back to Viitorul Constanța for the remainder of the campaign.[6] Press reported the transfer fee at €3 million, which made him the club's most expensive sale at the time, tied with Florinel Coman.[7]
On 25 May, he was a starter and played the full match in the Cupa României final 2–1 success against Astra Giurgiu.[8]
Returning to Brighton during pre-season following the expiration of his loan, Băluță made the bench for the first time for "the Seagulls" in a 2–1 away win over Bristol Rovers in the EFL Cup on 27 August 2019 and was named on the bench in a Premier League fixture for the first time in a 1–1 home draw against Burnley on 14 September. He remained an unused substitute in both fixtures.[9][10] Băluță made his debut for the Sussex club in the EFL Cup playing the whole match in the 3–1 home defeat to Aston Villa on 25 September.[11]
Loan to ADO Den Haag
On 17 January 2020 it was confirmed that Băluță had joined ADO Den Haag on loan until the end of the season.[12] He made his debut for the Eredivisie side a week later playing the full match in a 4–0 away loss at FC Utrecht.[13] Băluță made 4 appearances for The Hague based side with his time at the club cut short due to the Dutch FA taking the decision to cancel the season due to COVID-19.[14]
Loan to Dynamo Kyiv
On 4 October 2020 the loan of Băluță to Dynamo Kyiv was confirmed by the president of the club Ihor Surkis in his interview.[15] He made his debut for Kiev in what was also his first Champions League appearance coming on as a substitute in a 2–2 away draw against Hungarian side Ferencváros on 28 October.[16] Băluță made his Ukrainian Premier League debut coming on as a substitute in a 2–0 away victory against Inhulets on 21 November.[17]
Farul Constanța
On 12 July 2022, Băluță signed a two-year contract with Liga I team Farul Constanța.[18]
Śląsk Wrocław
On 19 July 2024, Ekstraklasa club Śląsk Wrocław announced the signing of Băluță on a two-year deal, with an option for a further year.[19]
Băluță is primarily deployed as a defensive midfielder, but started out as a centre-back.[3] He has been likened to former Romanian international and Barcelona captain Gheorghe Popescu, also a native of Dolj County, who in his turn described Băluță as an "intelligent player" with "exceptional qualities".[1]
^"Tudor Baluta a semnat! Gica Hagi si-a egalat recordul! Ce salariu va avea mijlocasul, în Premier League" [Tudor Băluță has signed! Gică Hagi equaled his record! What salary the midfielder will have in the Premier League] (in Romanian). BZI. 30 August 2018. Retrieved 21 April 2019. Thus, Hagi equaled his record for the most expensive transfer in the history of the club. For Florinel Coman, Gigi Becali had also paid a total of 3 million euros.