Images from day 4
When Baghdatis won the first two sets it looked as if Safin would fall away but the former world number one lifted his game at the start of the third set, showing the kind of form that took him to the title three years ago.
The Russian ripped through sets three and four but Baghdatis broke in the second game of the final set and again in the eighth to set up a third-round clash with another former world number one, Australian Lleyton Hewitt.