People kept offering to buy it from him for fabulous amounts, but he wouldn't sell.
It's very kind of you to keep offering me your dead mouse; but honestly I have no use for it.
If your child doesn't like a particular food, keep offering it.
I haven't yet, but people keep offering them to me.
"Not going to accept that job he keeps offering you, I hope."
"Why do I keep offering to bet you on things like this?"
He adds: 'Everybody kept offering us drugs and we got angry.
She kept offering me the use of the bath-house, for one thing.
The idea is to keep offering people new things.
Keep offering a food, even if they try one bite and spit it out.