"I was very thirsty," he said. -

He said(that) he had been very thirsty.

"Be careful," she said. -

She told me to be careful

"Why haven't you told me?" he asked me.

He wondered why I hadn't told him.

"I cannot take them home," he said. -

He said (that) he couldn't take them home.

*He said, "Don't go to the beach alone."

He told us not to go to the beach alone

He told us "Have you been shopping for food?"

He wanted to know if we had been shopping for food.

"What's the time?" he asked. -

He asked what the time was.

"When will we see each other again?" she asked me. -

She asked me when we would see each other again.

"Where did they live before moving here?" he asked. -

He wanted to know where they had lived before moving there.

"Will you be at Tom's party?" he asked her. -

He asked her if she would be at Tom's party.

"Can you meet me at the train station?" she asked me.

She asked me if I could meet her at the train station.

"Did you see that great car?" he asked me.

He asked me if I had seen that great car.

She said, "I went to the cinema with my boyfriend yesterday." -

She said (that) she had gone to the cinema with her boyfriend the day before.

He said, "I am writing an essay tomorrow." -

He said (that) he would be writing an essay the next day.

You said, "I will do this for you." -

You said  (that)  you would do that for me.

She said, "I am not tired now." -

She said (that) she wasn't tired then.

They said, "We have never been here before."

They said (that) they had never been there before.

They said, "We were in Paris last week."

They said (that) they had been in Paris the week before.

He said, "They won't sleep." -

He said (that) they wouldn't sleep.

She said, "It is very quiet here." -

She said​ (that) it was very quiet there.

-

Tous les that sont entre (...) car non obligatoires

Il faut faire attention à la concordance des temps

si le verbe introducteur est au passé, alors le temps dans le "reported speech" change

présent simple = past simple

présent continu  = past continu

futur will = would

present perfect  = past perfect

present perfect continuous =  past perfect continuous

prétérit = past perfect

prétérit continuous =  past perfect continuous

il faut aussi changer les adverbes, de lieu, de temps

Discours direct  Discours indirect

Now > Then

Tonight >That night

Yesterday > The day before/The previous day

Tomorrow   >The next day/The following day

Last         > Previous

Next  > The following

This    > That

These > Those

Here    > There