From the Guardian website:

...But there is other news around today, not least the resumption of Brexit talks in Brussels. As the Times splash (paywall) suggests, there is a link between the Patel story and the negotiations. EU leaders are worried that May's government is so weak it could collapse, putting the Brexit process in jeopardy. The Times's lead story starts: "European Union leaders are preparing for the fall of Theresa May before the new year, it emerged yesterday, as the prime minister lost her second cabinet minister in a week."

The "Times splash" is a reference to today's Times front page.

"Brexit process?" What's one of them?