Myneni lost his second round 6-7 (5) 6-3 7-9 to Frenchman Kenny De Schepper, who is ranked 163, 47 places above the Indian.
Earlier, Yuki had lost his first round 6-7(5), 6-2 2-6 to lower-ranked Italy's Matteo Donati. Yuki is ranked 156 while Donati is 225.
Somdev, who has been struggling since winning the Delhi Open Challenger in February, lost his opening round 7-5 4-6 2-6 to Spain's Nigo Cervantes.
The Wimbledon championships begin from Monday.