offer-n; 2 Senses

Sense Number 1: a proposal or presentation for acceptance

Commentary: OFFER[+proposal]
NOTE: implies the offerer has the capacity to deliver on what is proposed
NOTE: implied agent and benefactor roles for this noun. (offerer/offeree)
NOTE: implies a statement, written or spoken.

He already has several job offers on the west coast.
I haven't yet made an offer on that house.
There are lots of phony offers on the Internet.
Sally can't decide which offer to sign; three publishers want her book.
The prisoner accepted the offer of a reduced sentence in exchange for disclosing his accomplice.
Mary refused John's offer to take her to tea.

PropBank: offer.01
WordNet 3.0 Sense Numbers: 1, 2

Sense Number 2: a physical attempt or effort to do something

Commentary: OFFER[+attempt]
NOTE: implies a gesture or physical attempt, not a formal proposition, or statement between parties.

An offer to stroke the cat's back resulted in him jumping into my lap.
Not one of them made an offer to pick up the pieces of the vase that now lay broken on the floor.

PropBank: NM
WordNet 3.0 Sense Numbers: 3