Supporters of LGBT rights marched through the streets of Mexico City on Sunday in support of a proposal to legalize marriage rights for gay and lesbian couples throughout the country.

Mexican President Enrique Pena Nieto in May asked lawmakers to debate marriage equality.

Sunday's rally came a day after thousands of people took to the streets to protest Pena Nieto's proposal. Norberto Rivera Carrera, the cardinal of Mexico City, denied the Catholic church, a vocal opponent of same-sex marriage, was behind the protests.

One of the largest marches drew an estimated 40,000 people to the city of Queretaro, Reuters reported.

“I think it was something unprecedented, the awakening of the society of Queretaro in defense of the family,” Jose Alcantara, an organizer with the National Front for the Family, told the outlet.

At Sunday's march, demonstrators carried banner which read, “I respect your family, respect mine.”

Mexico's highest court last year struck down as unconstitutional laws that restrict marriage to heterosexual couples. But such laws remain in most states.