Theresa May plans to have had meetings with all 27 EU leaders about Brexit by the end of the year.
A spokeswoman for the prime minister said all discussions will be concluded in "good faith".
May believes the best approach to Brexit is to work together, the spokeswoman added.
Asked about European Council President Donald Tusk saying a Brexit might not happen, the spokeswoman said: "The British people have made their decision. We are going to get on with it."