Question: do cristina and burke ever get back together

Answer: No, In season ten, Preston is seen to be living in Zürich, where he runs a privately owned cardiothoracic research hospital. He invited Cristina to the hospital to give a speech on her research. Cristina is both shocked and angered by the sight of Preston, and the former couple exchange bitter sentiments. Cristina claims that the two would never have worked out because she wanted to emulate him, not be by his side. Preston then reveals his ulterior motive for bringing Cristina to Switzerland: to ask her to take over his hospital, which she accepts. He is married to an Italian woman, Edra, and has two daughters, Simone and Vivianna. They are on the verge of moving to Milan.