City's record signing Sala and pilot David Ibbotson were aboard an aeroplane which disappeared from radar en route from Nantes to Cardiff on Monday evening.
Guernsey Police will make a decision early on Thursday morning whether to recommence the search around the island of Alderney, with rescue teams so far having found "no trace" of the light aircraft. Dalman, who described Sala's disappearance as a "tragic accident", said the Piper PA-46 Malibu plane was not organised by the club.
He also said the sister of the £15 million Argentinian striker was on her way to south Wales.
"We continue to collect data to try to understand what happened from this end. Everything points towards a tragic accident, it really does," Dalman told Sky Sports News HQ.
"We will continue to hope and pray. But we also have to be realistic, it doesn't look good at this very moment."
Speaking about the chartering of the plane, he added: "That is correct (Cardiff had nothing to do with it). We have looked into this quite thoroughly. 'It's quite evident that Cardiff took the responsibility to offer Sala arrangements, which obviously would have been commercial flights, which would have meant a train from Nantes to Paris then Paris to Heathrow and then driving up (to Cardiff).
"And the player's reaction to that was to make his own arrangements which was much quicker.
"Whether he did it from Nantes' point of view or with his agent, we are trying to extricate that. I think we will reach a conclusion to that in two days."