Seeded sixth at the year’s fourth and final tennis Grand Slam, Rohan Bopanna and Matthew Ebden took a little over an hour to beat the unseeded pairing of Roman Safiullin of Russia and Andrey Golubev of Kazakhstan 6-3, 6-3 in the second round
Ukraine's Elina Svitolina progressed to the next round after defeating Russian player Anastasia Pavlyuchenkova 5-7, 6-4, 6-4 in the second round of the US Open.
In Winston-Salem last week, the Draper withdrew in the second round of his first tournament back on the Tour after missing three months due to a shoulder injury.
The fifth seed overcame an aggressive display from the 21-year-old Nava, who smashed 72 winners to Ruud's 27 but lacked the consistency needed to pull off an upset.