Change the narration: She said, "I don't want to come with you."

Change the narration: She said, "I don't want to come with you."

Explanation

The reporting verb "said" is in the past tense, so the verb in the reported speech must also change to past tense.

"Don't want" changes to "didn't want", and "you" becomes "me".

Correct: She said that she didn't want to come with me.