Theresa May has urged EU leaders to focus their minds on getting a Brexit deal in the next two months, saying negotiations will not be extended.
At a dinner in Salzburg, she told her 27 counterparts her priorities were maintaining economic ties and ensuring promises to Northern Ireland were kept.
There are suggestions the UK will put forward new ideas for regulatory checks to address the current Irish deadlock.
On Thursday the other EU leaders will discuss Brexit without Mrs May present.
Arriving for the second day of the gathering Austrian Chancellor Sebastian Kurz, the host, said that "away from the hard media statements, I think both sides are aware that they will only reach a solution if they move towards each other".
Negotiations over the terms of the UK's exit and future relations are at a critical stage, with about six months to go before the UK is scheduled to leave on 29 March 2019.