HOUSTON — More than a decade ago, Venezuela seized several oil projects from the American oil company ConocoPhillips without compensation. Now, under pressure after ConocoPhillips carried out its own seizures, the Venezuelans are going to make amends.

ConocoPhillips announced on Monday that the state oil company, Petróleos de Venezuela, or Pdvsa, had agreed to a $2 billion judgment handed down by an International Chamber of Commerce tribunal that arbitrated the dispute. Pdvsa will be allowed to pay over nearly five years, but as it is nearly bankrupt, even those terms may be hard to meet.

After winning the arbitration ruling in April, ConocoPhillips seized Pdvsa oil inventories, cargoes and terminals on several Dutch Caribbean islands. The move seriously hampered Venezuela’s efforts to export oil to the United States and Asia, and emboldened other creditors to seek financial retribution.

“What they did was choke the exports and made it clear to Pdvsa that the cost of not coming to an agreement would be higher than actually settling on a payment schedule,” said Francisco J. Monaldi, a Venezuelan oil expert at Rice University.