SANTIAGO (Reuters) - Chile's center-right President Sebastián Pi？era signed into law a bill legalizing same-sex marriage on Thursday, days after it was approved by Congress in a historic vote.

       The law "puts all love relationships between two people on an equal footing," Pi？era said at a ceremony at La Moneda government palace together with LGBT activists, representatives of civil society, legislators and officials.

       Lawmakers passed the law Tuesday, in a milestone for the conservative South American nation after a decade-long legal battle and with the country delicately poised ahead of a crossroads election this month.

       "All couples who so wish, regardless of their sexual orientation, will be able to live love, marry and form a family with all the dignity and legal protection they need and deserve," Pi？era said.

       Chile has long had a conservative reputation even among its strongly Roman Catholic peers in Latin America. Still, most Chileans now support same-sex marriage and have shown signs of becoming more liberal on social and cultural issues in recent years.

       Civil unions have been permitted in Chile since 2015, which affords same-sex partners many but not all the benefits of married couples, like the right to adoption.

       (Reporting by Natalia Ramos; Editing by Adam Jourdan and Frances Kerry)