U.S. officials say Cheney's plane made a scheduled stop Sunday at Singapore's Paya Lebar Air Base to refuel.
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While there, the plane underwent repairs for a minor electrical problem. Officials did not describe the problem but said it was not a safety concern and had not affected flight plans.
Earlier, Australian Prime Minister John Howard had said Cheney's plane was diverted to Singapore because of unspecified problems.
Cheney traveled to Singapore from Australia, where he held talks with Mr. Howard and opposition leader Kevin Rudd.
Earlier in the week, Cheney visited Japan and the U.S. Pacific island of Guam to discuss regional security issues, and rally support for the Iraq war.