Step 1: Apply reported speech rules.
Direct speech: “I’ll come and see you” (future tense with “will”).
Reporting verb “said” is in past tense, so “will” changes to “would” in reported speech. Step 2: Eliminate options.
(A) “accepted” changes the meaning — acceptance is not the same as merely stating.
(B) Keeps “will” instead of converting to “would” — tense shift error.
(C) “agreed” adds connotation of consent to a proposal, not just stating intention.
(D) Correct tense shift and accurate reporting.
\[
\boxed{\text{(D) He said that he would come and see me}}
\]