Talk about a mature breakup.
However, a source tells ET they haven't rekindled their romance.
"They're not back together [and are] just friends," the source says.
And 40-year-old Kruger seems to have a message for all the speculation going on surrounding her love life.
"New couple alert!" she Instagrammed on Sunday, hugging a giant poop emoji pool float. "#neverlookbackinanger #thepastisjustaplaceofreference #stoptalkingsh*thahahah."
Kruger and Jackson started dating in 2006 after the actress split from her husband of five years, French director Guillaume Canet. But in July, her rep confirmed to ET that she and 38-year-old Jackson broke up after a decade together, during which they dodged plenty of marriage questions.
Still, the two are obviously enjoying one another's company post-breakup. Aside from Kruger and Jackson's cute airport embrace, they were again seen out and about together in Los Angeles earlier this month, grabbing a bottle of wine.