Substitute Ki Sung-yueng drove in an extra-time winner to take the Premier League’s bottom club Sunderland into the League Cup semi-finals with a dramatic 2-1 victory over Chelsea on Tuesday. Ki smashed home in the 118th minute after being teed up by Fabio Borini, who had come off the bench to force extra time with an 88th-minute equaliser. In the night’s other quarter-final, Edin Dzeko scored twice as free-scoring Manchester City booked their place in the semi-finals with a 3-1 win at second-tier Leicester City. This gives us momentum and keeps the season alive Sunderland midfielder Lee Cattermole Chelsea, third in the Premier League, looked on course to reach the last four after taking the lead when goal-line technology adjudged that a combination of Frank Lampard and Sunderland’s Lee Cattermole had bundled a cross over the line. But they were pegged back two minutes from time when on-loan Borini steered an expert finish past two Chelsea defenders on the line from a tight angle. The hosts then laid siege to the Chelsea goal and were rewarded two minutes from the end of extra time when Ki smashed home a low drive to send the home crowd wild. Chelsea won the competition twice in Jose Mourinho’s first spell at the club, but with a busy Christmas schedule looming in the Premier League, they made eight changes from their weekend team. But the fringe players did little to push their case and Mourinho was forced to recount a familiar tale as he bemoaned his team’s latest failure to turn chances into goals. "The quality of football we produced is amazing. We never lost a match because we didn’t play or that the opponent was stronger, it’s just we don’t kill opponents and we give them life," Mourinho said. "Every opponent knows they can score a goal [against us]. We had many fantastic chances to score and didn’t score. We always wanted to go through in this competition but it wasn’t a priority. Still, we have to score goals and win matches." Chelsea’s goal came as a low cross from Azpilicueta picked out Lampard and Cattermole sliding in at the far post. The ball eventually bobbled over the line before goalkeeper Vito Mannone clawed it clear. Referee Anthony Taylor pointed to his watch to signal the goal had been awarded by the Hawk-Eye technology installed at the ground. The match looked to be heading towards a routine victory for Chelsea before it was brought to life in the 88th minute following the introduction of Borini. The ball bounced free to the Italian, on loan from Liverpool, and he steered it accurately into the net from a tight angle. Borini almost won it but his effort was expertly blocked by Gary Cahill and he perhaps should have done better at the start of extra time when he failed to make proper contact with a deep cross, unmarked at the far post. Yet Sunderland were not to be denied and after Chelsea’s stand-in keeper Mark Schwarzer had produced a superb save to turn over a header from Ki, the South Korean latched on to a pass from Borini, cut inside and drove the ball low into the net. "This gives us momentum going into Saturday [against Norwich] and keeps the season alive," Sunderland midfielder Lee Cattermole said. "The priority is always the league. We played extra time but this win gives us some belief." Dzeko made his case for a more regular starting spot in City’s star-studded line-up with goals either side of half-time after Aleksandar Kolarov had given the visitors an early lead. Lloyd Dyer grabbed a consolation for Leicester. "We had a very good first half, and then we had the possession and dominated the game until they scored. It is an important competition, it is important to win every game you play in and to get to the final at Wembley would be wonderful for the supporters," Manchester City boss Manuel Pellegrini said. "I think the Capital One Cup is different to normal because we could have Tottenham and Manchester United also in the semi-final so that would be beautiful for the fans." Stoke City host Manchester United and managerless Tottenham take on West Ham in the last two quarter-finals on Wednesday.