The 43-year-old Bopanna and 35-year-old Ebden, who claimed two doubles titles on the ATP Tour earlier this year, will next face the unseeded British pair of Jacob Fearnley and Johannus Monday on Sunday.
India had mixed fortunes at the US Open on Friday. Rohan Bopanna advanced to the men's doubles second round partnering Denis Shapovalov, but Leander Paes, teaming with Guillermo Duran, made a first-round exit.
India's Divij Sharan and his Slovakian partner Igor Zelenay and progressed to the next round of the Murray River Open tennis tournament.
India's Sania Mirza and Switzerland's Martina Hingis entered the women's doubles third round.
Sharan and Nys did not get any break-point in the 72-minute clash
India's Rohan Bopanna and Florin Mergea battled past Thomas Bellucci and Guillermo Duran in straight sets to progress to the pre-quarterfinals of the Wimbledon men's doubles event, in London on Friday.
The 2020 international calendar concluded with the three tournaments in the Asia leg which was conducted in Bangkok in successive weeks.
Yuki Bhambri advanced to the singles second round of the ATP Tashkent Open and reached the doubles quarter-finals, partnering compatriot Divij Sharan, following an upset victory over the top seeds on Tuesday.
Karolina Pliskova lost her cool over a line call and bashed a hole into the umpire's chair with her racket after suffering a 3-6, 6-3, 7-5 defeat by Maria Sakkari in the Italian Open second round on Wednesday.