Sofia Vergara and Nick Loeb
07/10/2012 at 08:15 PM EDT
Looks like they're back on – in a big way.
Nearly two months after news broke that Sofia Vergara
and Nick Loeb were splitting up
, he gave the Modern Family
star a shiny new ring for her 40th birthday. One source tells PEOPLE the couple are engaged, but other sources say the actress does not consider herself engaged.
An unnamed Mexico-based rep for the star tells Peopleenespanol.com
, "As of today, Sofia is not engaged."
Loeb accompanied the actress to Mexico, where she celebrated her birthday
with a weekend of festivities. On Monday, a Vergara pal posted a photo on Twitter of the actress wearing a sparkler on her ring finger in Mexico. Tuesday, Wonderwall
reported the couple are engaged.
The actress and Loeb rekindled their relationship
at the beginning of June, though a source told PEOPLE, "There are compromises to work out on both sides."
Loeb, a businessman with political aspirations, first made major headlines with the actress when she was by his hospital bedside in September 2010, following a serious car accident