Joe Manganiello and Sofia Vergara
07/26/2014 AT 01:15 PM EDT
As if it weren't hot enough in Miami, Sofia Vergara
and Joe Manganiello
turned up the heat with a PDA-packed arrival at the airport.
The affectionate couple made their way through Fort Lauderdale International Airport on Thursday, holding hands, hugging and kissing as they waited for their luggage before hopping in a car bound for the St. Regis hotel in Bal Harbour.
Vergara, 42, and Manganiello, 37, have headed south so the True Blood
actor could spend time with the Colombian-born bombshell's family, sources tell PEOPLE.
Hours after touching down in Miami, the twosome were joined by her relatives for dinner at Cecconi's Italian restaurant. "She looked beautiful and very happy," a source says.
The following day, the lovebirds only had eyes for each other when they stepped out
for a romantic lunch at Mandolin Aegean Bistro in Miami’s Design District.
"They couldn't keep their hands off of each other," an onlooker tells PEOPLE.
It's not the first time Manganiello has met up with members of Vergara's family: The couple recently cozied up with them for her birthday celebration
The couple kept the romance going on Friday night with another PDA-packed dinner, this time at Seasalt and Pepper Brasserie.
“They had a wonderful time and Sofia paid the bill,” a source tells PEOPLE.
Reporting by LINDA MARX