An independent judge-led panel could consider and implement the recommendations of the phone-hacking inquiry in Scotland, Alex Salmond has suggested.
The proposal comes as politicians on both sides of the Border enter cross-party talks on the future of press regulation.
The First Minister wants the group to be headed by a Court of Session judge and include five non-politicians. It will be set up if he wins support for the plan from other parties.
Talks with opposition party leaders are due to begin at Holyrood next week when MSPs are also due to debate the findings of the Leveson Inquiry.
The First Minister said the implementation group would consider press regulation and related issues including criminal prosecutions, defamation and police functions.
Mr Salmond said: "This will allow the process and any proposed changes to go through the normal parliamentary procedures."
Scottish Labour leader Johann Lamont welcomed cross-party talks but called on Mr Salmond to be bound by the outcome.
David Cameron, Nick Clegg and Ed Miliband are also holding talks to decide what system should be introduced in the rest of the UK.
Following the first meeting last night, Labour described the talks as "frank, robust and to the point".
Sources said Mr Cameron had not ruled out legislation and had agreed the Department of Culture, Media and Sport would draft a bill for consideration.
But Labour is pushing for swift action and has threatened to bring the issue to a vote in the Commons, which the Conservatives could potentially lose to a Lib-Lab alliance, if there is no significant movement by January at the latest.
Lord Justice Leveson will not be guiding politicians on how he wants his recommendations to be implemented. Announcing the findings of his Government-ordered inquiry yesterday he said the report spoke for itself and told politicians the ball was in their court now.
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