At 0743 GMT, the rouble was 0.24% weaker against the dollar at 64.88 and had lost 0.19% to trade at 72.38 versus the euro.
The rouble and other emerging market currencies slid on Tuesday after U.S. President Donald Trump said Washington was not yet ready to cut a deal with China that could bring an end to a drawn-out trade dispute.
"The rouble could remain under pressure at the start of trading from external pressure which is not good for emerging economy currencies," Anton Startsev, an analyst at Olma, said.
The rouble could receive support when the finance ministry holds its weekly auction of OFZ treasury bonds later on Wednesday.
Rouble-denominated OFZ bonds, which serve as a gauge for global market sentiment, have drawn significant foreign demand in recent months.
Brent crude oil, a global benchmark for Russia's main export, was down 0.94% at $69.45 a barrel.
Russian stock indexes were mixed.
The dollar-denominated RTS index was down 0.34% to 1267 points. The rouble-based MOEX Russian index was 0.07% higher at 2611.54 points.