The rumored couple was spotted out and about in Los Angeles on Tuesday, both dressed casually. Lourd appeared makeup-free and wore a loose sweater, black pants and boots, while Lautner sported a navy blue hoodie and black jeans.
The sighting marks the first time the two have been seen together following both Fisher's private memorial service on Jan. 5, and Reynolds' funeral just one day later, both of which Lautner attended. Scream Queens stars Emma Roberts and Lea Michele were also spotted at Reynolds' funeral on Friday.
Last month, Lourd and Lautner -- both 24 years old -- sparked dating rumors, when their Scream Queens co-star, Keke Palmer, Snapchatted the two kissing at a Los Angeles club.
The Twilight star later publicly supported Lourd after news broke of Fisher's death, Instagramming a sweet picture of the two of them together.
"This girl is one of the strongest, most fearless individuals I've ever met," Lautner wrote. "Absolutely beautiful inside and out. I'm lucky to know you @praisethelourd .. [heart emoji] me."
Lourd broke her silence on the devastating deaths of both her mother and grandmother last week, thanking fans for their support. "Receiving all of your prayers and kind words over the past week has given me strength during a time I thought strength could not exist," she Instagrammed alongside a throwback photo of herself as a child with both Fisher and Reynolds. "There are no words to express how much I will miss my Abadaba and my one and only Momby. Your love and support means the world to me."
Fisher and Reynolds were honored during Sunday's Golden Globes, when the Hollywood Foreign Press Association paid homage to the actresses with the first-ever Golden Globes In Memoriam tribute.