It's not just the verbs that change! You also have to update pronouns and "time/place" words so they make sense from your current perspective.
Pronouns: "I" becomes "he" or "she."
Time: "Today" becomes that day; "Yesterday" becomes the day before.
Place: "Here" becomes there; "This" becomes that.
Example:
Direct: "I will meet you here tomorrow."
Reported: He said he would meet me there the next day.