Serbia has been urged to follow up the arrest of ex-Bosnian Serb leader Radovan Karadzic by quickly catching his wartime commander, Ratko Mladic.
The US envoy at the United Nations, Zalmay Khalilzad, said the US rejoiced at Mr Karadzic's arrest and hoped Gen Mladic would soon meet a similar fate.
France said the European Union expected further arrests.
Mr Karadzic, who is accused of genocide and crimes against humanity, was arrested in Serbia's capital, Belgrade.
Mr Karadzic's lawyer has confirmed he will fight moves to extradite his client to the UN war crimes court at The Hague. He has three days in which to lodge an appeal.
Serbian Foreign Minister Vuk Jeremic told the BBC Mr Karadzic's arrest showed his country was firmly committed to EU membership.
The arrest of Mr Karadzic, 63, and other indicted war criminals is one of the main conditions of Serbian progress towards joining the EU.
A new European-leaning government took office in Serbia about two weeks ago.
More details have emerged of Mr Karadzic's life on the run practising alternative medicine under the name of Dragan Dabic.
He was arrested on a bus in a suburb of Serbia's capital Belgrade after more than a decade on the run.
Masquerading as an expert in human quantum energy, the fugitive was so confident in his disguise he even had his own website, and would give out business cards during alternative medicine lectures.
His card gave his name as D D David, D D apparently standing for his pseudonym Dragan Dabic.
Billed as Dabic, Spiritual Explorer, Mr Karadzic gave lectures comparing meditation and silent techniques practised by Orthodox monks. He spoke in Belgrade in May, and also in the town of Smederevo, east of the capital.
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