Mr Clinton arrived in Greece from the summit on European security in Istanbul, which ended with the signing of two important documents, one an agreement limiting the size of conventional military forces; the other a new security charter.
Russia has agreed to comply as soon as possible, but the foreign minister, Igor Ivanov, said there was no question of anyone mediating in Chechnya.
The Chechen foreign minister, Ilyas Akhmadov, has welcomed the final declaration, saying he's happy the European Security Organisation is addressing the problem in Chechnya. But a Chechen official in exile in Ingushetia told the BBC that although the rebels were losing ground to Russia, they would fight a guerrilla war until the last Russian soldier had left.
From the newsroom of the BBC World Service
Country profiles
Violence greets Clinton visit
Russian forces pound Grozny
EU fraud: a billion dollar bill
Next steps for peace
Cardinal may face loan-shark charges
Vodafone takeover battle heats up
(From Business)
Trans-Turkish pipeline deal signed
French party seeks new leader
Jube tube debut
Athens riots for Clinton visit
UN envoy discusses Chechnya in Moscow
Solana new Western European Union chief
Moldova's PM-designate withdraws
Chechen government welcomes summit
In pictures: Clinton's violent welcome
Georgia protests over Russian 'attack'
UN chief: No Chechen 'catastrophe'
New arms control treaty for Europe
Mannesmann fights back
(From Business)
EU fraud -- a billion-dollar bill
New moves in Spain's terror scandal
EU allows labelling of British beef
UN seeks more security in Chechnya
Athens riots for Clinton visit
Russia's media war over Chechnya
Homeless suffer as quake toll rises
Analysis: East-West relations must shift