Members of the Rangers Supporters Assembly, Association and Trust called for the talks after being left "anxious" following the high-profile resignations of Rangers chief executive Craig Mather and non-executive director Bryan Smart.
But supporters groups say their meeting with Jim McColl and Paul Murray and Malcolm Murray went well and they are now compiling a Q&A from the talks which will be published for fans.
News of the talks came as Dave King flew into Glasgow Airport. He's expected to meet various directors over the weekend.
Rangers Assembly president Andy Kerr said last night: "I think the majority of fans are behind this. It was a very successful meeting.
"The main purpose was to gather information and we have done that, and we will share that in a meaningful format with the fans.
"We were quite happy with what we heard from Jim McColl and Paul Murray and the key now is to communicate that information and we have arrangements in place to do that.
"The timeline now is understanding when the AGM takes place, because that is going to be the pivot for all of this."
He added: "We heard that a board is ready to go in and that a CEO and Financial Director are lined up, and that was good to hear because it was something that was causing us anxiety as fans.
"We have some level of assurance and heard nothing that has given us any concerns."
Minutes from Thursday's meetingshow the three shareholders - dubbed the "requisitioners" following their bid to call an emergency shareholder summit - backing closer fan involvement as well as building relationship with financial investors.
The minutes read: "The intention is firmly to work towards proper fan involvement. All three of the hosts confirmed their support for this. The nitty-gritty detail needs to be addressed but a future shareholder structure where Financial Institutions, high net-worth individuals and individual fans and fans organisations all had significant holdings would be welcomed. The group would canvass the support for input before anything was implemented.
"There is a very positive view of Rangers in the City [of London} and the relative value gap between for example Manchester United and Rangers was perceived to be considerably less than the current relative values of the businesses. Likely changes to football in Europe and North America over the next few years are likely to benefit a big club such as Rangers.
"The way German football was completely restructured over 10 years demonstrates that massive change takes time.
"Nobody wants or supports extensive borrowing by the club - that model has clearly and consistently been proved to be a seriously flawed one.
"The group stated that they want to build trust between the board and all of the stakeholders in the club and they believe the best way to do that is by appointing quality people. They stated that doing that (and reiterated that they believe they have identified such individuals) ensures financial support will follow."
Rangers are currently operating without a chairman or a chief executive following the recent resignations of Walter Smith and Craig Mather.
But McColl and the Murrays say they have a man in mind to take over the running of the club.
"The hosts have detailed views on financial issues but their main concern is to create a structure at the club led by a quality CEO," the minutes said. "They have identified and had discussions with a suitable candidate who they believe would work with them. They have also targeted a highly credible Head of Finance.
"Making such high-profile appointments will they believe gain further support from the major financial institutions invested in Rangers. They are satisfied that this will help in securing further investment if and when required. The business will have a very credible executive management who will not only look over the recent past forensically but implement robust business and financial plans."
However, they are unlikely to sanction former oldco chief exec Martin Bain's return, nor are they looking to use Ticketus - the company former club owner Craig Whyte used to finance his takeover - to provide funding.
The requisitioners plan to meet with Dave King - another oldco director tipped to return as chairman - although "nothing specific has yet been agreed with him".
Rangers announced £14.4million losses for the 13-month period to the end of June but the rebel shareholders say there are still institutional investors in the City ready to plough cash into the club.
The minutes added: "There are a number of prospective investors. The Institutions have indicated future support if a suitable structure is put in place. A number of individuals are considered prospective investors under the same pre-requisite."
Former Blue Knight Mr Murray and billionaire Clyde Blowers chairman Mr McColl have been embroiled in battling boardroom bosses at the club since August.
Mr Murray now hopes to win a seat on the board when the club holds its annual general meeting before the end of the year
Mather and Smart's resignations last Wednesday leave just Brian Stockbridge and James Easdale on the club's board.
However, former SFL chief David Longmuir has been linked with an approach to take up a senior role.
Earlier this month, Mr Murray won an interim interdict banning the AGM from taking place yesterday.
Mr Murray acted after Mather and his fellow directors refused to add a motion calling for four new directors to be appointed at the AGM, including himself.