[7] On 17 September 2011, during a Super League match against Atromitos, Kapino made his debut for Panathinaikos' men's team, coming on as a substitute after his teammate Orestis Karnezis was sent off.

[9] The 2012–13 season saw Panathinaikos use four different managers – Jesualdo Ferreira, the Argentine Juan Ramón Rocha, Spanish Fabri and finally Giannis Vonortas – while the club finished sixth in the league.

[11][12] He made his Bundesliga debut on 7 February 2015 at home versus Hertha BSC as a 34th minute replacement for Christian Clemens after the starting goalkeeper Loris Karius was given a red card for a foul on the last man.

After one year with Mainz, during which he could not establish himself, Kapino moved back to his native Greece to join Olympiacos, rivals of his former club Panathinaikos, on a three-year deal for a transfer of believed to be €2 million.

He was part of the starting XI of the squad in the 2015–16 Greek Football Cup season, except in the final where Olympiacos were defeated by rivals AEK Athens in an empty Olympic Stadium.

[16] On 19 March 2017, Kapino returned to action following his replacement Leali's mistakes in two Europa League matches against Besiktas[17] making saves that prevented a bigger defeat for Olympiacos in an away 1–0 derby loss against rivals Panathinaikos.

This proved to be the last league game for Kapino who, after also appearing and underperforming in two Greek Cup fixtures, was put on the out-of-favour player list by Olympiacos on 4 December 2017.

[20] On 7 February 2018, days before the end of the transfer window for unattached players, Kapino signed with EFL Championship side Nottingham Forest, under the presidency of chairman Evangelos Marinakis,[20] on an 18-month deal.

[22] According to media reports, he signed a contract until 2020 with an option of a further year while the transfer fee paid to Nottingham Forest was estimated at €300,000 which could rise up to €1 million depending on bonuses.

[30] On 18 December, after regular goalkeeper Stefan Ortega had to self-quarantine after testing positive to COVID-19, Kapino played in a 2-0 away victory against RB Leipzig, in his club effort to avoid relegation.