To present for acceptance.
To propose.
To present itself.
To make an attempt.
The act of offering; a proposal.
For the sake of that age I offer you this book. – The Woman in Black by Edmund Clerihew Bentley
I offer you my hand." – Andersen's Fairy Tales by Hans Christian Andersen
But aren't you going to offer me some breakfast? – The Adventures of a Three-Guinea Watch by Talbot Baines Reed