The euro jetted past $1.20 and was on course for its biggest daily percentage gain against the U.S. dollar in nearly two weeks on Thursday.
The U.S. Energy Information Administration said U.S. weekly crude stocks increased 4.6 million barrels last week, topping analysts' forecast.
Gold gains after Draghi's comments on monetary policy and Trump's debt ceiling agreement.
U.S. government debt yields were lower on Thursday as investors scrutinized speeches from a number of Federal Reserve leaders.
U.S. stock index futures pointed to a lower open on Thursday, as investors geared up for Fed speeches and news from the ECB's latest meeting.
European markets ended Wednesday on a relatively mixed note, as investors cheered on the rebound seen in U.S. markets.
Stocks in Asia declined on Wednesday as investors remained jittery about North Korea.
U.S. stocks rose after two top Democratic leaders said Donald Trump would support a plan to raise the debt ceiling for three months.
The U.S. dollar hit a multiyear low against the Canadian dollar on Wednesday.
Oil prices rose on Wednesday as strong global refining margins and the reopening of US Gulf Coast refineries provided a bullish outlook.
Gold fell from one-year highs on Wednesday, boosted by geopolitical tensions and a lower dollar due to growing expectations the Fed will delay rate rises.
U.S. Treasury yields jumped Wednesday after top Democrats announced that they had President Trump's support for a debt ceiling extension.
U.S. equities were set for a rebound on Wednesday, with stock futures trading higher, led by some large-cap tech names.
U.S. equities fell as tension between North Korea and the West sent jitters down Wall Street.
European markets came under pressure by the end of Tuesday's trade, as a weak performance from Wall Street and geopolitical concerns weighed on investor sentiment.
Asia markets were cautious after stocks stumbled and investors turned to safe haven assets after North Korea's recent nuclear test.
The U.S. dollar index hit a one-week low against the yen and on track for its biggest decline in eight days.
U.S. oil prices rose on Tuesday and gasoline fell as refineries in the Gulf of Mexico shut by Hurricane Harvey gradually restarted.
Spot gold was up 0.14 percent at $1,336.11 an ounce, trading near a one-year high.
U.S. government debt yields were lower on Tuesday after North Korea conducted its most powerful nuclear test and key Fed speeches.