Bogomolov was born in Moscow but then moved to Mexico with his family and subsequently to the United States.
His father was a renowned tennis coach, having coached former world no.1 Yevgeny Kafelnikov.
Gilles Muller of Luxembourg overcame Russian qualifier Konstantin Kravchuk 7-6 (5), 6-4.
Muller will meet German’s Philipp Kohlschreiber next, who dismissed Carlos Berlocq of Argentina 7-5, 6-3.
Sixth seed Dmitry Tursunov of Russia ousted Spaniard Albert Ramos 7-6 (5), 6-4.
Other 1st round matches:
Jeremy Chardy (FRA) – Potito Starace (ITA) – 6-3, 6-7 (5), 7-6 (2)
Michael Berrer (GER) – Sergiy Stakhovsky (UKR) – 6-2, 6-4