Crude prices had tumbled earlier after the ship was partially freed, but rebounded quickly afterwards when salvage experts said the hardest work was ahead.
"As soon as the statement was released, bonds rallied, causing yields to drop and stocks to hit new highs," noted market analyst Fawad Razaqzada at ThinkMarkets.
London equities jumped 1.6 percent in late morning trade, while Frankfurt was up 1.2 percent and Paris added 1.5 percent just after midday in the eurozone.