Direct speech
Reported speech
Simple Present
"I agree with her."
Simple Past
He said he agreed with her.
Present Continuous
"I'm not sleeping well.
Past Continuous 
He said he wasn't sleeping well.
Present Perfect
"I've just seen Paul."
Past Perfect
He said he had just seen Paul.
Present Perfect Continuous
"She's been dreaming."
Past Perfect Continuous
He said she had been dreaming.
Simple Past
"I went out with him."
Past Perfect
He said she had been out with him.
Future
"I will survive."
Conditional
He said he would survive.
Future Continuous 
"I'll be watching you."
Conditional Continuous
He said he would be watching you.

Modals
"I can read music."
He said he could read music.
"It may rain."
He said it might rain.
"We must tell the truth."
They said they had to tell the truth.
"I needn't spend any money."
He said he didn't need to spend any money.
Do not change

Would, could, might, ought to, needn't have, must have, used to