Having finished the first round on top, the newly-promoted side continued from where they left off on a high as Solange Carvalhas gave the visitors the lead after just 21 minutes of action.
A minute from the break, the unbeaten visitors maintained their push for more goals and found a breakthrough through Mariana Azevedo.
Three minutes after the restart, Famalicao extended their lead when Solange Carvalhas bagged her brace before the South African was introduced as a replacement for Maria Negrao.
Gil Vicente, however, fought in an attempt for a possible comeback but could only pull one back in the 71st minute through Lea Pires.