In 2008, Albertson got the role of Alice in the movie Phoebe in Wonderland opposite Elle Fanning and Bailee Madison.
In 2012, she played the role of Isabella in the Henry Alex Rubin's drama movie, Disconnect opposite Jason Bateman and Hope Davis.
The same year, she was announced in the casting of the new series Younger by Darren Star, the creator of Sex and the City, a sitcom broadcast on TV Land.
In 2016, the actress played Tilda in the movie Complete Unknown opposite Michael Shannon and Rachel Weisz.
In 2017, Albertson played Alex Faustner in the drama film November Criminals, opposite Chloë Grace Moretz and Ansel Elgort.