Schalke will meet Sevilla in the semi-finals
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Uefa Cup favourites Schalke secured a place in the semi-finals after a 1-1 draw with Bulgarian side Levski Sofia.
Emil Angelov put Levski ahead in the first half, but a superb finish by Lincoln after the break enabled Schalke to win the tie 4-2 on aggregate.
In the semi-finals Schalke will meet Sevilla, who drew 1-1 at Zenit St Petersburg to win 5-2 on aggregate.
Steaua Bucharest drew 0-0 against city rivals Rapid and in the last four will face Middlesbrough who overcame Basle.
Middlesbrough produced an astonishing comeback to beat the Swiss side 4-3 on aggregate.
Zenit's hopes of producing a similar fightback briefly flickered when Oleg Vlasov's blocked shot rebounded for Korean midfielder Hyun Young-Min to score.
But Sevilla substitute Blanco Kepa quickly ended any hopes of a comeback with an equaliser for the Spanish club, though he was promptly dismissed for a gesture at Italian referee Stefano Farina.
Kepa was soon joined in the dressing room by Zenit's Ivica Krizanac, before Viacheslav Malafeev saved the Russians from further embarrassment when he pawed away a penalty from Daniel Alves.
Steaua reached the last four on the away-goals rule.
Banel Nicolita scored in last week's first leg match when Rapid were hosts and that was enough to ensure Steaua went through after Thursday's goalless draw.