
Battisti, 54, was jailed for murder in Italy in the 1970s when he was a member of the leftist group "Armed Proletarians for Communism." He escaped in 1981 and fled to France, but went on the run again when Paris approved his extradition in 2006 and was caught in Brazil.
Brazil's decision this month to give the Italian political refugee status sparked diplomatic protests from Italy, which calls him a "terrorist". Battisti was convicted of two murders before his jailbreak and faced two more murder charges.
Berlusconi said the case must not harm relations with Brazil but added: "The matter must be taken forward in the proper arena -- the courts -- where Italy will leave no stone unturned in its attempts to get Battisti extradited to our country."
He said he was "hopeful of the success" of Italy's appeal to Brazil's supreme court, which will rule on the case.
Some Italian politicians want stronger protests such as the cancellation of a soccer match against Brazil in London on Feb. 10, but Rome says it has no intention of calling off the match.
The case has also embroiled French first lady Carla Bruni, who was accused by an Italian victims' association of somehow influencing the decision during a visit to Brazil in December.
The Italian-born wife of President Nicolas Sarkozy went on Italian television on Sunday to deny this. She was criticised in Italy last year for supporting an Italian guerrilla in exile in France, whose extradition to Italy was rejected by Paris.
Battisti himself accuses the Italian government of denying him a fair trial, telling the Brazilian magazine IstoE this week in an online interview that media tycoon Berlusconi's influence on the Italian media meant coverage of the case was biased.
He accused Italian politicians of seeking revenge on him for a documentary in which he said he had revealed that, in the period in which he was tried and jailed, "torture was part of daily life" and prisoners like himself were mistreated.
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