On 30 April 2019, Valinskas was loaned to Lietkabelis Panevėžys of the Lithuanian Basketball League (LKL) until the end of the 2018–2019 season.
[3] On 6 August 2022, Valinskas signed a two-year contract with Nevėžis Kėdainiai of the Lithuanian Basketball League (LKL).
[4][5] On 21 June 2023, Valinskas signed a one-year deal with Juventus Utena.
[6] On 19 July 2024, Valinskas signed a two-year (1+1) contract with Šiauliai of the Lithuanian Basketball League (LKL).
[7] Valinskas' older brother, Paulius, is also a professional basketball player who has previously played for Žalgiris Kaunas, as well as internationally in Belgium and Serbia.