Valskis began his senior club career in 2005 at FK Žalgiris of Lithuanian A Lyga, where he made 11 appearances before moving to Kauno Jėgeriai.

[3] In 2014, Valskis signed for CS Universitatea Craiova of Romanian Liga I and appeared in 15 league games before moving to Polish club Wigry Suwałki.

[3] Valskis in 2018, moved to Thailand and appeared with Ratchaburi Mitr Phol in 15 Thai League 1 matches, scoring 9 goals.

[7] His goals helped to lead the club to the final of the Super League on 14 March 2020; he scored in the showpiece match but Chennaiyin lost 3–1 to ATK.

[8] On 21 August 2020, after parting ways with Chennaiyin,[9] Valskis signed a two-year contract with fellow Super League club Jamshedpur FC, reuniting with former boss Owen Coyle.

[14][15] FBK Kaunas Liepājas Metalurgs Minsk Riteriai Bnei Yehuda Tel Aviv Chennaiyin Lithuania Individual