Nicola Sturgeon is demanding Theresa May make new deals for Scotland with the EU
The First Minister has called for "tangible evidence" UK ministers will include her country’s demands for a differentiated deal on European single market membership and a review of the devolution settlement.
Without such assurances, speculation is growing over the reaction from Hollyrood.
It has now been suggested Ms Sturgeon could announce a second referendum on independence as early as March.
Theresa May met with devolved leaders in Cardiff on Monday, a meeting which is expected to be followed up by intense get togethers between the UK’s leaders.
Nicola Sturgeon could call for a second independence referendum in 2017
In terms of me getting a sense of whether Scotland is going to be listened to at all, that period between now and triggering of Article 50 is absolutely crucial
Speaking after the Joint Ministerial Committee on EU negotiations talks, Ms Sturgeon said she "remained to be convinced" that her Government's proposals are being taken seriously.
She said: "I came here today determined to find some grounds for compromise, some way of trying to square the circle of the UK-wide vote to leave and the Scottish vote to remain, but I also came with a very direct message to the UK Government, that so far the compromise or the attempts at compromise have come only from the Scottish Government.
"There has been no willingness to meet in the middle on the part of the UK Government.
"In terms of me getting a sense of whether Scotland is going to be listened to at all, that period between now and triggering of Article 50 is absolutely crucial.
"The next few weeks are not going to resolve every issue of Brexit, but in terms of me being able to judge whether Scotland's voice is going to be heard at all in this process… the next few weeks are very important."
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British PM Theresa May is under pressure to get a secondary deal for Scotland
Theresa May's 12 point Brexit plan
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Continued cooperation with the EU to tackle terrorism and international crime.
Asked if such a timescale could see her announce another vote on independence by March, she added: "I'll do what needs to be done to protect Scotland's position. We are running out of time for this process. It can't go on indefinitely and it won't go on indefinitely.
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"This is one of the last key opportunities for me to make clear to the Prime Minister that I have to see some movement on her part, and over the next few weeks she has got the opportunity to demonstrate whether that movement is going to be forthcoming."