MK Dons were formed after the original Wimbledon club, having gone into administration, were in 2003 relocated over 50 miles north to Milton Keynes and bought by Pete Winkelman's consortium, before being renamed in June 2004.
AFC Wimbledon were formed by supporters in response and have since been promoted five times to reach npower League Two. They will meet MK Dons for the first time on the weekend of December 1 in the FA Cup second round, after both clubs came through first-round replays.
Winklelman remains as chairman of the Milton Keynes club and Samuelson told Sky Sports News: "If he offers me his hand, as long as it's got a letter in it saying that they agree that what they did was wrong and that they're going to drop the name Dons, I'll shake it. Otherwise I think we'll just move on.
"It's up to them. I think it reminds them and everybody of how they originated. They really don't have much to do with Wimbledon but it's their decision, not mine.
"I'm not going to agitate for it, I think it would be the better thing to do but that's for them to decide."