Brent crude futures were trading 18 cents down at $60.76 a barrel by 1203 GMT. US West Texas Intermediate crude futures lost 3 cents to $51.90.
The New York Federal Reserve on Monday said that its gauge of business growth in New York state posted a record fall this month to its weakest level in more than 2-1/2 years, suggesting an abrupt contraction in regional activity.
US business sentiment has sagged as trade tensions have escalated between China and the United States and on signs of softness in the labour market.
Oil prices have fallen by about 20% from April's 2019 highs, partly because of concerns over the US-China trade war and disappointing economic data.
US President Donald Trump and China's President Xi Jinping could meet at the G20 summit in Japan this month. Trump has said he would meet Xi at the event, though China has not confirmed the meeting.
Putting further pressure on oil, the US energy department on Monday said that shale oil output is expected to reach a record high in July.
Fears of a confrontation between Iran and the United States have mounted since last Thursday's oil tanker attacks, which Washington has blamed on Tehran. Iran has denied involvement.
"Oil prices appear unperturbed by the further escalation of the Iran crisis," said Commerzbank's Carsten Fritsch.
Iran on Monday said it would breach internationally agreed curbs on its stock of low-enriched uranium within 10 days, adding that European nations still had time to save a landmark nuclear deal.
Acting US Defense Secretary Patrick Shanahan announced on Monday the deployment of about 1,000 more troops to the Middle East for what he said were defensive purposes, citing concerns about a threat from Iran.
Saudi Arabian Energy Minister Khalid al-Falih on Monday said that countries need to cooperate on keeping shipping lanes open for oil and other energy supplies to ensure stable supplies.
He also said that Saudi exports and production are expected to remain at "about the same level" as the past few months.
Market participants are also awaiting a meeting between the Organization of the Petroleum Exporting Countries and other producers including Russia, a group known as OPEC+, to decide whether to extend a supply reduction pact that ends this month.
Russian Energy Minister Alexander Novak on Tuesday said it was too early to make any decisions about the future of the agreemeent because of market uncertainties.