"Cloning may be considered as the last frontier to overcome male sterility and give the possibility to infertile males to pass on their genetic pattern," Antinori told scientists and journalists at the city's Umberto I Polyclinic.
"Some people say we are going to clone the world, but this isn't true...I'm asking all of us in the scientific community to be prudent and calm," he said. "We're talking science, we're not here to create a fuss."
Dolly the sheep
Antinori is no stranger to controversy. He attracted criticism when he helped a 62-year-old woman give birth.
Panos Zavos, who resigned earlier this month from his post at the University of Kentucky after announcing he was going to work on the cloning project, said the researchers had been bombarded with e-mail from couples eager to have children through the new technology.
"They come to us and they don't call you names, they don't cuss you, they don't say you're unethical," Zavos said. "They said, 'Help me'.
Dolly is here and we are next," Zavos said, referring to the sheep that became the first adult mammal clone in 1996.
Developmental abnormalities
The plan has come under heavy fire from mainstream scientists and religious groups, with the Vatican describing the proposals as "grotesque".
"The probability is that it can be done but it is not inevitable that it can be done," said Dr Harry Griffin, of the Roslin Institute, the Scottish centre where Dolly was produced.
"Certainly, the efficiency [of animal cloning] in published work is very low - around 2% of the embryos that are created by cloning make it to term.
"Critically for this debate, many of the animal clones die late in pregnancy or soon after birth and show developmental abnormalities."
Mediterranean clinic
Antinori attempted to play down some of the dangers of cloning at the Rome symposium.
"Cloning creates ordinary children," he said. "They will be unique individuals, not photocopies of individuals."
He did not indicate which of the couples that had volunteered would be chosen for the programme, but said he had ruled out single women and couples who wanted to have another child after the death of other offspring.
He gave no indication when or where he might attempt cloning but said he had no intention of breaking any laws.
"In Italy, there's no law yet that prohibits it, we're respectful of laws," Antinori said.
He told the BBC he had an invitation from an unnamed Mediterranean country to set up a cloning clinic.