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But the lengthy letter carried on the website of Islamica magazine also points out "errors" and "mistakes" in the Pope's speech.
The clerics' letter is due to be passed to the Vatican on Sunday.
Pope Benedict sparked an uproar in September by quoting a mediaeval text which linked Islam to violence.
He has not apologised for the speech delivered in Regensburg, Germany, but said he regretted the offence it had caused among Muslims.
The clerics, who come from Bosnia, Croatia, Egypt, Jordan, Kosovo, Oman, Russia, Turkey, Uzbekistan and Iran, say they accept the Pope's "unprecedented personal expression of sorrow".
Islamica magazine, which is based in Los Angeles, said the letter would be handed over to the papal nuncio in Jordan on Sunday. BBC