Equities and crude began rebounding yesterday after the ECB said there were "no limits" to the stimulus measures it might take to boost the eurozone economy.
Sentiment was boosted further today by a report that said Japan's central bank was considering similar moves.
"Global stocks rebounded strongly today, capping a massive two-day about turn that erased sharp declines early in the week," said market analyst Jasper Lawler at CMC Markets UK.
"The rally was aided by a surging oil price and talk of stimulus from both the European Central Bank and the Bank of Japan," he added.
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After a sell-off that has wiped several trillion dollars off global markets so far this year, the prospect that two of the world's biggest central banks were ready to finally step in gave investors something to cheer about.
Yesterday, ECB boss Mario Draghi highlighted concerns about the impact of plunging equity and oil prices on already weak inflation and pledged the bank would reconsider its monetary policy at its March policy meeting.
His comments lit a fire under European stocks and also supported a Wall Street rally yesterday.
The latest developments spread some much-needed confidence around trading floors after the worst-ever start to a year.
Tokyo led the gains, surging 5.9 per cent, the best one-day performance since early September, with a weaker yen helping exporters. Hong Kong ended 2.9 per cent higher and Shanghai added 1.3 per cent.
European stocks finished strongly with Paris climbing 3.1 per cent and the exchanges in oil-dependent Norway and Russia shooting up 4.5 per cent and 9.4 per cent respectively.
"US stocks are moving solidly higher in early action for a second-straight session," said analysts at brokerage Charles Schwab.