The amendment would keep accused stalkers -- as well as those accused of perjury, illegal political financing and abuse of office -- out of jail until their trials, to lessen the number of people held in Italy's overcrowded jails, the Italian news agency ANSA reported Tuesday.
Roberta Agostini of the Democratic Party was among a number of women from several political parties immediately objected to the amendment.
"Those facing the crime of stalking must be remanded in prison," she said. "It is a serious offense, considering that almost every day we learn of reports of killings of women."
Police reported two murder-suicides in Italy Monday by men who were rejected by former wives, the latest in a wave violence against women ANSA termed "femicides."
Eighty-one women were killed in Italy in the first half of 2012, the majority by family members or those having a relationship with the victims, a report by ANSA and the Italian social and economic research group EURES said.