Brent crude was on track for its fifth consecutive weekly drop. By 1029 GMT, it was down 39 cents, or 1.5pc, at $25.95 a barrel.
US crude was up 12 cents, or 0.5pc, at $22.72.
Both of the benchmarks are down nearly two-thirds this year and the slump in economic activity and fuel demand because of the coronavirus crisis has forced massive retrenchment in investment by oil and other energy companies.
"Unlike the financial markets, the oil market is apparently finding it difficult to look beyond the current crisis," Commerzbank analyst Eugen Weinberg said.
Oil requirements around the world may drop by 20pc as 3 billion people are in lockdown, the head of the International Energy Agency Fatih Birol said as he called on major producers like Saudi Arabia to help to stabilise oil markets.
Analyst Weinberg said "We have our doubts about whether Saudi Arabia will allow itself to be persuaded so easily to return from the path of revenge that it only recently embarked upon."
The Group of 20 major economies pledged on Thursday to inject more than $5 trillion into the global economy to limit job and income losses from the coronavirus and "do whatever it takes to overcome the pandemic."
Leaders of the US House of Representatives are determined to pass a $2.2 trillion coronavirus relief bill on Friday, or at the very latest on Saturday, hoping to provide the quickest help possible as deaths mount and the economy reels.
With 84,946 infections and 1,259 deaths, the United States faces the prospect of becoming the next global epicentre of the pandemic.
Mainland China reported its first locally transmitted coronavirus case in three days and 54 new imported cases, as Beijing ordered airlines to sharply cut international flights, for fear travellers could reignite the coronavirus outbreak.
As global oil demand plummets, Saudi Arabia is struggling to find customers for its extra oil, undermining its bid to seize market share from rivals by expanding production.
The Organization of the Petroleum Exporting Countries and its de facto leader Saudi Arabia failed earlier this month to reach an agreement with other producers, including Russia (known as OPEC+), to curb oil production to support prices.
But the head of Russia's sovereign wealth fund Kirill Dmitriev told Reuters a new OPEC+ deal to balance oil markets might be possible if other countries join in.
"It does not seem as though there is anything the Saudis or the broader OPEC+ group can do to push the market significantly higher," said ING analyst Warren Patterson.
"The demand destruction we are seeing does mean the level of cuts that would be needed by the group would be just too much to stomach," he said.
Algerian oil minister called for an extraordinary meeting of OPEC's economic panel via teleconference to assess current oil market conditions and immediate prospects.
Oil and gas research group JBC Energy said in a note it had "drastically" reduced its oil demand forecast for 2020, expecting a decline by above 7.4 million barrel per day on average.