[Closed] UEFA Cup qualification for Sunderland?

I [i]think[/i] that if a cup competition has a UEFA qualification for the winners, then the runners up automatically get qualification if the winners have a UCL spot. Haven't there been a few FA Cup runner-ups in the Europa League in recent years?

The FA cup yes. But does the League Cup have a spot?

Hmmm...maybe not. From premierleague.com:

There are three places in the UEFA Europa League available: the FA Cup winners will enter at the Group Stage; the fifth place team in the Barclays Premier League will enter at the Play-Off stage; and the Football League Cup winners will enter at the Q3 stage.
In the event the FA Cup winners are qualified for the UEFA Champions League the FA Cup runners-up will qualify, but in the place reserved for the lowest ranking Barclays Premier League representative. The place with direct access to the Group Stage will be given to the club that finishes in the highest position in the Barclays Premier League of the clubs qualifying for the UEFA Europa League.
English winners of the UEFA Europa League will enter at the Group Stage, gaining an extra domestic place only if they fail to qualify through other means for the UEFA Champions League or UEFA Europa League. If the holders of the UEFA Europa League have already qualified for Europe, no extra domestic place will be gained.
Should the FA Cup [b]winners, runners-up[/b] (if applicable) and the Football League Cup [b]winners[/b] already have qualified for Europe, their place goes to the next best placed clubs in the Premier League.

It specifically mentions FA Cup runners-up but not League Cup runners-up.