It will depend on the birds in question. Some birds will hate each other, while others get along famously. If worst comes to worst, you can always have the two out at different play times until they get used to each other.
A crossover Quaker Scuti (F), A Sun conure named AC, A Cinnamon Green Cheek conure Kent, and 4 budgies, yellow (f), clark Jr. (m), Dot (f), Zebra(f). AND 3 BABY BUDGIES.