Mundy, who was named in the 40-man All Australian squad after a standout season, is out of contract and Fremantle is fighting Gold Coast and a host of Victorian clubs to secure his services.
Bond said the club would have regular discussions with the Victorian-born midfielder and his management over the next two weeks and he was hopeful a decision would be made soon.
“We’re very confident David will stay and we’re hoping that decision will be made soon,” Bond said from Fremantle Oval on Monday.
“I think he wants to stay at this football club, because it’s a football club he’s playing great football at.
“David’s a very important part of where we want to go and what we want to do, and we’ve been very transparent with David and his management throughout the course of the year.”
Fremantle on Sunday confirmed that Tarrant will be returning to Melbourne after four mixed seasons, and Bond said the club had accepted his reasons for leaving.
He was confident the club could secure a “fair and reasonable outcome” for both parties during trade week, despite suggestions Tarrant will retire if he can’t be traded to his nominated club.
“We believe Chris Tarrant will play football next year,” Bond said.
“He’s one of the best key backs in the competition, so obviously there’ll have to be working with all parties involved to make sure that there’s a fair outcome.
“He understands the opportunity Fremantle’s given him and we also understand the ability of him to stand up in big games for us over the last couple of years.
“I’m very comfortable something will be worked out.”
Fremantle, which is also working to secure new deals for key defenders Luke McPharlin and Antoni Grover, will complete a series of fitness, coaching and medical reviews this week before turning its attention to list management.
Bond wouldn’t speculate on the future of Des Headland, who suffered a medial ligament injury in Friday night’s semi-final loss to Geelong, but he said the player turnover would be less than it has been in the past two seasons.
Paul Hasleby, Scott Thornton and Dean Solomon have already retired, but Fremantle will have to accommodate senior list spots for former rookies Michael Barlow, Alex Silvagni and Matt de Boer.
Clancee Pearce, Hamish Shepheard, Casey Sibosado and Jay van Berlo can be retained on the rookie list for a third season without entering the draft.
Bond said Fremantle would again be active during trade week, but the focus would not be purely on youth after debuting 17 of its currently listed players in the past two seasons.
“There’s no doubt the last two years of our trade strategy has been to make sure we get as many draft picks as we can into the club … draft those players [and] develop those players as quickly as we can so they can be competitive footballers,” Bond said.
“We’ll go into this trade period having to think about all different areas, because it is a compromised draft.
“We’ve still got plenty of time to do that [and] we think we’ll have the right strategy coming up to trade week.”
Fremantle also announced on Monday that assistant coach Dean Wallis would be returning home to Melbourne for family reasons and would not seek an extension of his contract.
