US shares opened higher on Tuesday as an uneasy calm returned to markets after days of wild swings.
The technology-heavy Nasdaq, the Dow Jones Industrial Average and the S&P 500 all saw early gains.
It followed subdued trading in the UK and Europe with London's FTSE 100 initially rising before falling back.
Overnight, Japan's Nikkei 225 stock index jumped by 10.23%, or 3,217 points in its biggest one-day gain in points, after the previous day's plummet.
The Nikkei's 12% slump at the start of the week weighed on global stock markets. Sharp share price drops in the UK, Europe and US followed.
There have been concerns that the US is facing an economic slowdown. A rare interest rate rise in Japan also affected trading.
The Nasdaq, which has experienced the most turmoil in the last couple of trading days, rose by around 1%. The S&P and the Dow Jones saw similar gains.
In London, the FTSE 100 opened higher, albeit a modest 0.33% gain, before dropping. Stock markets in France and Germany traced a similar path, with the Paris CAC-40 losing 1% by the afternoon.
Stock markets in the US had fallen on Friday and Monday following disappointing employment figures for July which showed that the jobless rate rose.
There has also been concern that shares in big technology companies - particularly those investing heavily in artificial intelligence (AI) - have been overvalued and some of those firms now face difficulties.
'Missed opportunity' on rates
The worse-than-expected jobs figures stoked speculation about when - and by how much - the US Federal Reserve could cut interest rates.
Last week, it voted to hold rates while other central banks decided to cut them.
"The Federal Reserve missed an important opportunity to cut interest rates last week like the Bank of England did," said economist Mohamed El-Erian, who is also president of Queens' College, Cambridge.
The Fed had signalled that a rate cut in September was on the table. But Mr El-Erian told the BBC's Today programme that by waiting, "it risks tipping the economy further towards a higher probability of recession."
A number of experts have cautioned that it is premature to suggest the world's largest economy is heading for a downturn.
But if it does, it would have wider implications.
"What happens in the US economically and financially does not stay in the US," said Mr El-Erian.
"The US has been the major driver of global economic growth, the US consumer is a very important engine of economic activity so the world as a whole would suffer if the US were to go into recession."
The wait for the Fed's next meeting will also likely mean stock markets remain unsettled.
“Markets are very volatile at the moment and will likely stay volatile until the Fed decision in September, so we wouldn't rule out rapid swings in both directions,” said Stefan Angrick, a senior economist with Moody's Analytics.
'Strong' Japanese fundamentals
Trading on the Nikkei was volatile following the Bank of Japan's decision to raise interest rates for just the second time in 17 years.
It sent the yen soaring against the dollar making Japanese stocks - and the country's exports - more expensive for foreign investors and buyers.
Commenting on the country's outlook, Jesper Koll, executive director of Monex Group Japan, said he still had confidence in the country.
"Japan’s fundamentals are strong, recession risks are nil and corporate leaders are dead-set on raising capital returns," he told the BBC.
As well as Japan, stock markets in South Korea and Taiwan also regained ground, rising around 3.5% after record falls.