When we are talking about what somebody said to us, there are many other verbs you can use except «Say» and «Tell».
Let’s say somebody ate the last cookie. You asked your sister if it was her and she said it wasn’t. In other words, your sister denied eating the last cookie. Or perhaps she said it was her who ate it! In this case, your sister admitted eating the last cookie.
One thing to remember is that these verbs have different patterns: what it means is that after some verbs you use the «-ing» form, after some you use infinitive without «to», and so on. Let’s look at some examples:
Advise (somebody to do something) — советовать
University professor: You should choose a presentation topic as soon as possible
The university professor advised her students to choose a presentation topic as soon as possible.
Remind (somebody to do something) — напоминать.
Mom: Don’t forget to wear a warm sweater today!
My mom reminded me to wear a warm sweater today.
Agree (to do something) — соглашаться
Jane: Ok, I`ll help you
Jane agreed to help me.
Refuse (to do something) — отказываться
Shop assistant: Sorry, we can’t accept your return without a receipt.
The shop assistant refused to accept my return without a receipt.
Threaten (to do something) — угрожать
Neighbor: If you continue to play your music loudly, I`ll call the police.
The neighbour threatened to call the police if they continue to play their music loudly.
Offer (to do something) — предлагать
John: I`ll carry the file boxes for you!
Johny offered to carry the file boxes for Rachel.
Apologize for (doing something) — извиняться
Me: I`m sorry I`m late
I apologized for being late.
Accuse somebody of (doing something) — обвинять
Andrew: You’re lying to me!
Andrew accused me of lying to him.