On 29 August 2011, Vassiljev signed a three-year contract with Russian Premier League club Amkar Perm for a fee reported to be around €1 million.

[6] He made his debut in the Russian Premier League on 11 September 2011, against Spartak Moscow, but had to be substituted after 44 minutes due to injury.

[7] Vassiljev scored his first goal for Amkar Perm on 20 August 2012, from a penalty in a 2–0 win over Krylia Sovetov Samara.

[11] Vassiljev scored his first goal for Piast Gliwice on 29 October 2014, in a 5–0 home victory over GKS Bełchatów in a Polish Cup match.

[13] He made his first appearance for the club on 2 July 2015, starting in the 1–0 first leg victory of their UEFA Europa League qualification round against Kruoja Pakruojis.

[15] On 27 February 2019, Vassiljev returned to Estonia after 11 years abroad, signing a one-year contract with Flora.

[20] Vassiljev made his senior international debut for Estonia on 31 May 2006, in a 1–1 home draw against New Zealand in a friendly.

He scored his first international goal for Estonia on 28 March 2009, in a 2–2 away draw against Armenia in a qualification match for the 2010 FIFA World Cup.

Vassiljev soon developed into a prolific goalscorer for the national team, capable of finishing well from distance with an accurate and powerful shot.