Brent crude and US West Texas Intermediate futures both rose slightly.

Market strategist Yeap Jun Rong attributed the price increase to uncertainty surrounding the ceasefire negotiations.

The focus will shift to upcoming US crude inventories data releases, with expectations of a decrease in stockpiles.

According to a Reuters poll, US crude oil and product stockpiles are predicted to have fallen last week.

The dollar's strength limited oil price gains as it makes crude more expensive for traders holding other currencies.

The dollar index was up at 105.25.

Oil prices had risen on Monday but posted steep weekly losses due to weak US jobs data and the possibility of a Federal Reserve interest rate cut.

Meanwhile, Palestinian militant group Hamas agreed to a ceasefire proposal from mediators, but Israel did not meet the terms and continued strikes in Rafah while negotiating a deal.

Israeli forces struck Rafah with air and ground attacks and ordered residents to leave certain areas.

The text discusses the ongoing conflict between parties, which has lasted for seven months and has yet to be resolved.

This uncertainty has caused oil prices to rise due to concerns of disrupted Middle Eastern crude supplies.

Additionally, Saudi Arabia increasing the official selling prices for its crude to Asia, Northwest Europe, and the Mediterranean in June has signaled strong summer demand and further supported oil prices.

Saudi Arabia set the highest Arab Light crude oil price to Asia since January, at $2.90 above the Oman/Dubai average.