Correction in question : Which is the correct sentence ? ( I didn't understand why you have written "By right" there) "Yesterday you told me (that) you never wrote a letter (?) " is correct Do you want to say, "you had not written any letter" or "you had never written a letter"

Both are wrong. Yesterday you told me you never write letters. Yesterday you told me you never wrote letters. These two are correct.

''Yesterday you told me you never wrote a letter '' is correct. I hope it helps.