[4] Kink mostly played for Spartak Moscow's reserves in Russia, although he did make two league appearances, as well as coming on as a substitute in a UEFA Cup third round defeat to Mallorca.

[9] On 28 July 2008, he was close to signing a three-year contract with Romanian Liga I club Gloria Buzău for a fee of €200,000, but rejected the offer, because he didn't find the conditions in Romania suitable.

On 27 July 2010, Kink signed a three-year contract with English Championship side Middlesbrough for a reported transfer fee of £850,000.

[14] Kink made his debut on 7 August 2010, replacing Justin Hoyte on the 60th minute of the 1–3 league defeat to Ipswich Town.

In February 2012, Kink signed a contract with Ukrainian side Karpaty Lviv, which was supposed to last until the end of the season in May, but was terminated in April 2012.

In January 2013, Kink returned to Győr on a one-year loan spell from Varese in search of more playing time.

[27] After the season end in autumn, when Levadia merged with FCI, he left the club and had an operation in December, being free agent since.

Kink made his Estonia national football team debut on 31 March 2004 against Northern Ireland in a friendly match.

[31] On 8 October 2010, Kink scored from a beautiful long range effort in a UEFA Euro 2012 qualifying match against Serbia, equalizing the game at 1–1 in the 63rd minute as Estonia went on to win 3–1.