The exporting group's Secretary-General Abdalla El-Badri said it could revive the discussion among members and hold further talks with non-members. OPEC holds its next twice-yearly meeting on June 2.
A much-vaunted gathering Sunday in Doha collapsed after kingpin Saudi Arabia pulled out blaming bitter rival Iran's refusal to join in output limits. Tehran said it was still in the process of raising production after the removal of nuclear-linked Western sanctions in January.
Nearing 1100 GMT, US benchmark West Texas Intermediate (WTI) for delivery in June was up four cents at USD 43.22 a barrel.
Brent North Sea crude for June delivery firmed two cents to USD 44.55 a barrel compared with Thursday's close.
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WTI is up around eight percent and Brent about four percent from last Friday's closing levels.
"The market is reacting to hopes that there will be more talks to discuss freezing output measures to support oil prices," Bernard Aw, an analyst with IG Markets Singapore, told AFP.
And BMI Research warned in a note that the long-running enmity between Iran and Saudi Arabia -- who are fighting proxy wars in the Middle East -- could prevent any deal being made.
"We believe that Saudi Arabia and Iran's disagreement over oil is a symptom of wider geopolitical tensions between the two, and therefore do not expect a political OPEC agreement to be reached during the June 2 meeting," it said.