Second seed Nicolas Kiefer pulled out of the event in Halle due to a recurring wrist injury.
BBC: Safin felt out on sorts in his Halle opener
Federer will play unseeded Nicolas Kiefer in the last four after the German beat fifth seed Fernando Gonzalez 7-6 (7-5) 6-2.
BBC: Nadal crashes to defeat in Madrid
Federer, who won the Basle title for the first time last year, is scheduled to meet Nicolas Kiefer in the quarter-finals.
BBC: Federer brushes aside Del Potro
Roddick got the better of Belgium's Xavier Malisse 6-4 6-4 while Gambill saw off Nicolas Kiefer of Germany 7-5 7-6 (7-5).
BBC: Agassi powers on
Cilic, ranked 15th in the world, will next play France's Jeremy Chardy, who beat another German Nicolas Kiefer 6-4 7-6, in Friday's quarterfinals.
CNN: Ivanovic follows Serena in crashing out
His conqueror Hewitt meanwhile moves up to joint fourth with Nicolas Kiefer, behind leader Andre Agassi, Russian Yevgeny Kafelnikov, and Sweden's Magnus Norman.
BBC: Henman loses six in a row
The American will now face top seed Paradorn Srichaphan after the Thai player beat wild card Nicolas Kiefer 6-0 6-2 in the other semi-final.
BBC: Blake books final place
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