She told me that I would speak at the conference that day.
She told me that I would speak at the conference that day.
She told me that I would speak at the conference the next day.
She told me that I would speak at the conference the next day.
She told me that I will speak at the conference the today.
She told me that I will speak at the conference the today.
She told me that I might speak at the conference the next day.
She told me that I might speak at the conference the next day.
Correct Answer:
She told me that I would speak at the conference the next day.
She told me that I would speak at the conference the next day.