He returned, wearing a tie and apologizing profusely.

When the door opened, the deacon apologized profusely.

All through breakfast, she apologized profusely, saying that she couldn't understand how such a thing could have happened.

He apologized profusely for having questioned his authority by falling at his feet.

The clerk apologizes profusely to a young samurai, saying the shipments are delayed because of the rain, and he will have his money soon.