General manager of football operations Paul Hamilton said the Club was pleased to secure all three players until the end of the 2012 season.
Gumbleton, 22, said the decision to re-sign with Essendon was an obvious one.
“We are obviously still developing as a playing group but I think our list has a lot of potential to deliver future success for the Essendon Football Club and that is something I want to be a part of,” Gumbleton said.
“We are obviously going through a tough time at the moment but Essendon is a strong club and we will come out of this challenging time as a stronger and more united group and we are determined to do whatever it takes to take this proud club back to where it belongs.”
Hamilton said the West-Australian had shown a lot of promise in his 17 games this season, before broken ribs and a slightly punctured lung sustained against St Kilda in Round 18 prematurely ended his season.
McVeigh’s latest contract ensures the 29-year-old will remain a one-club player.
“Mark is a durable player who has shown his versatility by adapting to different roles in the team this year,” Hamilton said.
“The leadership he provides to our young group is also a big boost for the Club and is valued very highly.”
Reimers, 21, has played 39 games for Essendon since being taken with selection 47 in the 2006 National Draft.
“We believe Kyle has a lot of talent and we look forward to working with him to maximise his potential,” Hamilton said.