When converting offers and suggestions into indirect speech, we use the verbs to offer and to suggest. There is a difference between these two verbs: the person who makes an offer intends to do the action himself, and the action is an act of kindness.

A suggestion may also be an act of kindness, but not necessarily; the person who makes a suggestion may or may not intend to do the action himself.

Direct Speech Indirect Speech
He said to her, โ€œShall I fetch you a glass of water?โ€ She said, โ€œDo, please.โ€ (โ€œNo, donโ€™t trouble.โ€) He offered to fetch her a glass of water and she accepted the offer (declined the offer).
He said to her, โ€œSuppose we go there together?โ€ She said, โ€œVery well.โ€ (โ€œNo, I would rather you went alone.โ€) He suggested that they should go there together and she agreed (refused).

Sentences expressing advice are converted into indirect speech by means of the verbย to advise.

Direct Speech Indirect Speech
Heย saidย to them, โ€œYou had better take a taxi, you may be late.โ€ Heย advisedย them to take a taxi, as otherwise, they might be late.