VATICAN CITY  Catholic and Muslim leaders worked on Thursday to deflate suspicion between their two faiths, pledging at a high-level seminar here to work together to condemn terrorism, protect religious freedom and fight poverty.

The meeting came a year after 138 Muslim leaders wrote a letter to Pope Benedict XVI after he offended many Muslims by quoting a Byzantine emperor who called some teachings of the Prophet Muhammad “evil and inhuman.” In turn, top Vatican officials have worried about freedom of worship in majority-Muslim countries, as well as immigration that is turning Europe, which they define as a Christian continent, increasingly Muslim.

But on Thursday both sides said they hoped that the seminar would open a new and much-improved chapter in Catholic-Muslim relations, as the two groups said they might establish a committee that could ease tensions in any future crisis between the two religions.

“Let us resolve to overcome past prejudices and to correct the often distorted images of the other, which even today can create difficulties in our relations,” Benedict told the Muslim delegation. He called the gathering “a clear sign of our mutual esteem and our desire to listen respectfully to one another.”