A conditional "-(으)면" plus 부르다 "call, summon". It sets the trigger for calling someone over: call me if you need anything, call us when the food's ready, call me if you open a clothes shop, I'll call you next time I need a special DJ, call someone in if a guest suddenly can't make it. 부르다 also means "sing", and one line plays on both — 불러주시면 부르러 오겠습니다, if you call me I'll come and sing.