Highlighting the seismic shock from last week's referendum, one person who was in Brussels however was Scottish First Minister Nicola Sturgeon, "utterly determined" to see Scotland remain in the EU.
Britain "made the decision that it did. And this morning it looks like they aren't sitting at the table any more," European Commission President Jean-Claude Juncker said as he arrived Wednesday.
At a summit described as "sad" yesterday, Cameron won some breathing space from the remaining 27 leaders of the bloc five days after Britain rocked financial markets by voting 52 to 48 percent to leave the bloc.
However, Juncker warned Britain did not have "months to meditate" before triggering Article 50 -- the EU treaty clause that begins the two-year withdrawal process -- after Cameron's successor takes office in early September.
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And German Chancellor Angela Merkel warned that London could not "cherry-pick" the terms of the exit negotiations.
Some in Brussels are concerned that giving Britain favourable divorce terms will spark a domino effect of others leaving the union, set up six decades ago to foster peace on the continent after World War II.
Cameron flew back to London after yesterday's summit, as Sturgeon headed in the opposite direction to test the waters in Brussels for her country joining the bloc as a separate entity.
Scotland overwhelmingly backed "Remain" in last Thursday's vote, and the combative Sturgeon has said she was "utterly determined to preserve Scotland's relationship and place within the EU".
That may require a new referendum on Scottish independence, with Sturgeon saying that the Britain from the last vote in 2014 "does not exist any more" following the Brexit vote.
Top of the agenda at today's EU meeting was how the remaining 27 members can bolster unity after the shock of the British vote.
Cameron has urged a reform the rules of freedom of movement, with officials seeing the large influx of eastern European workers as a key factor behind the referendum outcome.
Merkel has called for a "new impulse" for the EU and stepped-up cooperation in areas including defence, jobs and competitiveness.