![]() TV pictures showed the air thick with teargas
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Some protesters hurled petrol bombs, sticks and stones in return.
Ms Rice is meeting Greek Prime Minister Costas Karamanlis as part of a five-day trip to Europe that also includes Turkey and Bulgaria.
Thousands of protesters are said to have gathered in Athens. Some 5,000 riot police have been deployed.
Television pictures showed protesters throwing petrol bombs and using sticks as riot police advanced, the air thick with tear gas.
The protesters were trying to reach the buildings where Condoleezza Rice is meeting Mr Karamanlis and her Greek counterpart, Foreign Minister Dora Bakoyianni, but many retreated under the police pressure, reports said.
Self-styled anarchists trailing the demonstrators continued fighting police, burning cars and smashing shop fronts, Reuters news agency reported, but there were no reports of injuries or arrests.
Police helicopters circled the city centre.