From Longman Dictionary of Contemporary Englishbe welcome to do somethingbe welcome to do somethingspokenINVITE used to invite someone to do something if they would like to You’re welcome to stay for lunch. → welcome
Examples from the Corpus
be welcome to do something• You're welcome to borrow my bike.• But he'd be welcome to come.• Any neighbor was welcome to drop in for tea.• Any reader wanting the right detector to suit his pocket and plenty of sound advice is welcome to give me a ring.• That will be matched from here and others are welcome to join in.• The public -- from upstarts to old pros -- is welcome to join this latest Friends social event.• We must somehow transcend this and create an atmosphere at our meetings which is welcoming to people from all types of background.• You'd be welcome to stay as long as you wanted. 