He did not make his Bundesliga debut until 5 March 2011, when he came on as a substitute for the injured Manuel Friedrich in the 14th minute of a 3–0 win at home to VfL Wolfsburg.

Following media coverage alleging match-fixing which also showed clips of Vida winking after Lyon's fifth goal, UEFA decided not to take action.

[11][12][13] On 25 July 2012, Vida scored a 98th–minute goal against Bulgarian side Ludogorets Razgrad in a UEFA Champions League match and thus helped his team to a 3–2 home win, which enabled it to progress to the competition's next round.

[15] On 2 January 2013, it was announced that Vida had signed for Ukrainian club Dynamo Kyiv on a five–year deal, for a reported transfer fee of €6 million.

[citation needed] On 3 March, Vida played his first game in the Ukrainian Premier League, against Kryvbas Kryvyi Rih.

The home 1–1 draw was disappointing for Dynamo, as it made much more difficult for them to get second place and qualify for the Champions League against Dnipro Dnipropetrovsk and Metalist Kharkiv.

On 17 March, Vida scored his first goal for Dynamo early in the game against Vorskla Poltava after a corner kick taken by Andriy Yarmolenko, by an excellent header, having forestalled Pavlo Rebenok and goalkeeper Serhiy Dolhanskyi.

[citation needed] On 17 May 2015, Vida scored the winning goal against Dnipro Dnipropetrovsk to clinch Dynamo Kyiv their first Ukrainian Premier League title in six years.

Vida was sent off 16 minutes into his club's UEFA Champions League round of 16 match against Bayern Munich after he fouled Robert Lewandowski.

[22] On 23 May 2010, he made his full international debut in Croatia's 2–0 win against Wales in Osijek, entering as a substitute for Darijo Srna in the 80th minute.

In 2011, he featured for Croatia in four UEFA Euro 2012 qualifiers, including both play-off matches against Turkey, which saw them securing a place in the finals.

In the final, he took a free kick from Luka Modrić to set up Ivan Perišić for Croatia's first goal of the match, and picked up a runners-up medal as France eventually defeated his side 4–2.

[35] Vida and Ognjen Vukojević celebrated Croatia's World Cup victory over Russia by shouting "Glory to Ukraine!

[38] Aleksandar Holiga, editor of Croatian website Telesport, has largely downplayed the incident saying "I don't think Vida understood the full meaning and context of what he was saying.

"[26] BBC reported that "Ukrainians accused FIFA of siding with Russia and flooded the football body's Facebook page with declarations of 'Glory to Ukraine'.