Giggs was afforded a warm ovation when making way for Bebe and the Portuguese winger's cross looked certain to result in a goal, only for Anderson and Danny Welbeck being unable to convert during an untidy goalmouth scramble.
Welbeck raced through only to be halted by Carlgren's brave challenge and Bebe's cross causing problems with van Persie's header from a promising position clutched by Carlgren as United had to settle for a draw in front of over 30,000 supporters.
United: Lindegaard (Amos 46); Rafael, Vidic, Evans (Smalling 53), Evra; Zaha (Welbeck 78), Carrick, Anderson, Giggs (Bebe 78), Nani (Henriquez 31); van Persie. Sub not used: Jones.
AIK: Stamatopoulos (Carlgren 46); Backman (Sundberg 85), Milosevic (Lorentzson 46), Johansson (Karlsson 46), Ofori (Owusu 77); Kayongo-Mutumba (Goitom 69), Bahoui (Lundholm 59), Quaison (Kouakou 59), Moro (Saletros 73); Borges (Persson 46), Igboananike (Kamara 46).