The Malaysian businessman and the Scottish tactician have been at loggerheads over the Welsh clubs transfer situation which sees Tan not prepared to spend in January after Mackay's summer spending spree.
The disagreement saw Tan send an email to Mackay informing him that he would be sacked if he did not resign from his position but Dalman said that ultimatum had subsided at this point.
"The crisis for the time being is over," Dalman said. "My definition of diplomacy is to create space for dialogue. I have spoken to Vincent Tan and he has agreed I can go into bat to try to bring a solution to this situation.
"There's goodwill on Vincent's side. I've not had a chance to talk to Malky just yet, but I will obviously do that as well. We need to have further dialogue to see if we can get through this together for the good of the club, which is the most important thing.
"We managed to create space for everyone to work together back in October and we have to see if we can do that again in order to move forward. At least we have a platform for dialogue, which gives us an opportunity to try to work our way through this.
"If we wish to work towards a reconciliation, Vincent Tan has offered us that opportunity to move towards that. If it works, it works. If it doesn't, it doesn't. But at least I as a responsible person and chairman of this football club have tried my best.
"I'm not taking sides in this, I'm just trying to do my best for the good of the club. Let's see if we can fix it. We can't keep having the club under a cloud, so this is it. We managed to get two or three months leeway last time and we need to create something similar again. I'm not putting a timescale upon this, but we have to try.
"Vincent Tan is in London for a while, so at least he is physically here which makes it easier to have that face-to-face dialogue."
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