We use this expression to offer someone help, especially something physical and practical.
You can use this phrase in ………… language.
A: I can’t stay until 7 to greet him.
B: Oh, allow me. I’ll greet him and you’ll talk to him tomorrow, ok?
A: I need a cup of tea. Can I get one from somewhere here?
B: Allow me – I was going to the kitchenette anyway.