That decision on Sunday was effectively a rebuff to US president Donald Trump, who has called for immediate action to raise global supply.
Brent crude rose by more than 3% to as more than $81 a barrel on Monday, its highest level since November 2014.
Saudi Arabia dominates the OPEC group of oil-producing nations and Russia is its biggest oil-producer ally outside the group.
They have reportedly been discussing raising output by half a million barrels a day to counter falling supply from Iran.
But a meeting of OPEC and non-OPEC energy ministers in Algiers ended without any formal recommendation for a supply boost.
Mr Trump said last week that OPEC “must get prices down”.
Experts estimate that once US sanctions on Iran are fully implemented from November it could result in the loss of as many as 2 million barrels a day from global supply.
Commodity traders Trafigura and Mercuria said they expect Brent crude to climb above $90 by Christmas and to pass $100 early in 2019.
BNP Paribas oil strategist Harry Tchilinguirian told Reuters Global Oil Forum: “It is now increasingly evident, that in the face of producers reluctant to raise output, the market will be confronted with supply gaps in the next three-six months that it will need to resolve through higher oil prices.”
Higher Brent crude prices tend to mean higher petrol costs for motorists.
However the AA has said that other factors including the strengthening pound over recent weeks meant that wholesale prices had fallen, and that this should help keep the lid on costs for drivers.
Meanwhile higher oil prices tend to benefit UK-listed companies such as BP and Royal Dutch Shell, which employ thousands of people in the North Sea and whose shares are staples in many UK pension funds.