Chevron wanted the Pasadena refinery purchased from Petrobras to process sweet crude coming from its oil fields in the Permian Basin of Texas.
The EIA reported crude inventories rose 9.9 million barrels in the week to April 26 to 470.6 million, compared with analysts' expectations for an increase of 1.5 million barrels.
U.S. crude oil stockpiles rose last week to their highest in about a year and a half as imports increased, even as refiners sharply ramped up output, the EIA says.
Aramco's discussions with Reliance were "serious," one source said. Another source said talks with Reliance were so far for a 25% stake worth up to $15 billion.
Crude oil stockpiles in the U.S. rose 7 million barrels to 456.6 million barrels in the last week, their highest since November 2017, the EIA said.