When we report first conditionals, the following changes may occur

.Mark: If we leave now, we can catch the train
Mark said that if we leave now, we can catch the train. (reported simultaneously; we can still catch the train)
.Mark said that if we left, we could catch the train

(the reported words are out of date; the train has already left)

When we report second conditionals, the following changes may occur

Future time

Cathrine: If I lost my job, I would be in serious trouble. (referring to a possible future situation)
Cathrine said that if she lost her job, she would be in serious trouble.

the reported words are true; she might still lose her job)

Cathrine said that if she had lost her job, she would have been in serious trouble. (the reported words are out of date; it's not possible that she will lose her job)

Present time

Paul: If I knew the answer, I'd tell you. (referring to an unreal present situation)
Paul said that if he knew the answer, he'd tell us.

When we report third conditionals, there are no changes in the verb forms

Tom: If we had booked our flight earlier, it would have been cheaper. (referring to an unreal past situation)
Tom remarked that if they had booked their flight earlier, it would have been cheaper

WISH, WOULD RATHER, IT'S (HIGH) TIME in indirect speech

after I wish, if only, I would rather, it's (high) time do not change in indirect speech

.Susan: I wish I lived in the mountains
.Susan said she wished she lived in the mountains

.John: If only we hadn't missed the train
.John wished they hadn't missed the train

.Carol: I'd rather go by bike than walk
.Carol said that she would rather go by bike than walk

Mr Wilkins: I would rather you didn't smoke in my office

Mr Wilkins said he would rather I didn't smoke in his office

Newspaper article: It's high time the government did something about this problem
The article said that it was high time the government did something about the problem