Töre has been a member of the Turkey national team at several age levels since 2007. In 2008, he was part of the national team squad at the UEFA Euro Under-17 Football Championship, in which Turkey were beaten by France on penalties in the semi-finals. Töre also played against France, later subbed in the 41st minute. When he was 17, he was called up to the under-21 team in September 2009, during the 2011 UEFA European Under-21 Championship qualification campaign. He was subbed on for Tunay Torun in the 36th minute against Georgia.

Töre joined Hamburger SV from Chelsea, becoming the third player to switch between the two sides during the 2011 summer transfer period, following Jacopo Sala and Michael Mancienne. On 30 July 2011, Töre made his competitive debut against VfB Oldenburg in Marschweg-Stadion in a DFB-Pokal Round 1 encounter that resulted in a 2–1 win for HSV. Töre made his senior league debut in the Hamburg starting line-up against Borussia Dortmund in the 2011–12 season opener, on 6 August 2011. Before December, Töre managed six assists in 17 games.

Turkey manager, Guus Hiddink – having seen Töre’s performances in training when the duo were both at Chelsea – told Töre that he liked his performances and that he had potential, and suggested he joined the A2 national team first to improve himself. Töre was called up to the senior team for the first time by Hiddink in May 2011 for the Euro 2012 qualification match against Belgium. He made his debut for the national team on 10 August 2011 in a friendly match against Estonia in Istanbul. On 2 September 2011, he was subbed on for team captain Emre Belözoğlu in the 60th minute, against Kazakhstan in a Euro 2012 qualification encounter, which ended in a 2–1 victory for Turkey.

On 26 July 2012, Töre completed a transfer to Russian club Rubin Kazan, signing a four-year deal. He was sent off for the first time in his career on 23 September 2012 in a 1–0 home win over Kuban Krasnodar.

In June 2013, Töre signed a season-long loan deal with Beşiktaş, scoring his first goal on his debut against Trabzonspor in a 2–0 home win. On 27 August 2013, Töre netted his second goal against Kayseri Erciyesspor in a 4–2 away win.

Töre and a friend allegedly entered the national team hotel in October 2013 after Turkey’s World Cup qualifying match against the Netherlands and threatened both Ömer Toprak and Hakan Çalhanoğlu with a firearm. Töre had allegedly been stewing over a reported affair between his former girlfriend and Ömer Toprak’s friend. The incident was made public by Çalhanoğlu in an interview with German TV station ZDF. In June 2015, Çalhanoğlu and Töre reconciled.

Töre was born in Cologne, the oldest of three siblings, to Turkish parents from Samsun, Turkey. In an interview, he stated that he likes the playing style of Sergio Agüero and Lionel Messi. Töre was engaged to his long-term girlfriend, Brazilian model Sofia Alexia, in April 2015 but separated shortly after announcing their engagement. From October 2017 to June 2019, he was married to Turkish actress Esra Bilgiç. In February 2020, he married architect Buket Büyükdere.

On 11 July 2016, West Ham United confirmed the signing of Töre from Beşiktaş on a season-long loan with a view to a permanent deal. He joined the Hammers for a fee of £2.5 million with an option to buy for a further £10 million. On 21 August 2016, he provided his first assist in a West Ham shirt with a cross from the left wing, assisting Michail Antonio’s 85th-minute header which decided the game against Bournemouth as West Ham won 1–0. He played his last game for West Ham on 1 October 2016, against Middlesbrough In October 2016, he picked up a femoral injury which was estimated to keep him out of the game for five weeks. The injury kept him out of the team for the remainder of the season. His loan ended with him having played eight times only for West Ham; five in the Premier League, two in the Europa League, against Astra Giurgiu, and once in the EFL Cup, against Accrington Stanley. Töre attributed the start of his season-long injury problems to an aggressive tackle from a teammate at a pre-season training camp.

In July 2019, Töre joined Yeni Malatyaspor on a 1+1 year contract.