"This draft resolution will now be a resolution put forward by 28 European countries. All 27 EU member states and Serbia will be co-sponsoring this draft resolution," she in a statement.
Ashton welcomed the prospects of dialogue between Belgrade and Pristina to begin after the adoption of the document in New York on Thursday.
Serbia conceded to dropping the formulation on "unacceptable unilateral secession" from the document following diplomatic pressure of EU biggest members.