The couple claim that they are constantly harassed by Mexican police for being in a same-sex relationship, and fled to Canada last year.
Now, Gomez and Lee are seeking asylum.
"Canada is a good country and we feel free," Lee said. "At home we were constantly persecuted for being lesbians."
Lee and Gomez have expressed their desire to stay in Toronto and get married.
Their lawyer, George Kubes, will send the couple to the Canadian Center for Victims of Torture for an assessment because they were allegedly harassed, followed and beaten by Mexican police. Unfortunately, their story is not unique.
According to Amnesty International reports, gays and lesbians are routinely and violently harassed by police and soldiers in Mexico.
The couple will have to wait until a decision is made by Canadian authorities, but their prospects are not bright.
Last year, there were more than 9,400 refugee claims filed by Mexicans in Canada, and only 11 percent were accepted.
The Canadian Visa Bureau is an independent consulting company specialising in helping people with Canadian visas and immigration.