"with the framework" is a correct and usable phrase in written English.
You can use it when you are referring to a specific framework that has already been established or discussed. For example, "The new regulations must be consistent with the framework previously established by the committee."
If successfully negotiated, such guidelines will provide governments with the framework within which to act.
Attorney General John Ashcroft insists that the administration's actions are "consistent with the framework of the law".
Tai chi is a system of chi kung that has been combined with the framework of a martial art.
With the framework of a privately delivered benefit already settled, industry lobbyists went to work on the details.
The president said there would be "consequences should the Assad regime not comply with the framework agreed today".
At the very least, if campaign politics preclude speaking harsh truths, the age of tinkering with the framework — a sort of policy wonk's Woodstock — is under way.
The government's powers are limited, but, with the framework of a state in place, it seems increasingly likely that Kosovo will simply declare independence unilaterally.
He nevertheless intended to form his future judgements about the application of guidance and the knockout criteria in line with the framework adopted by the Committee.
"This plan shares many similarities with the framework the Speaker discussed with the president, but also appears to fall short in some important areas.
Scientology has provided many of us with the framework, the vocabulary, and the certainty with which to deconstruct and criticise all the other religions of the world.
I worked on this doc with the framework of The Learning Network contest rules, but adjusted what I thought might work best for my students.
