LONDON (Reuters) - The euro briefly hit its strongest level since mid-March on Monday and trade-sensitive currencies including the Australian dollar rallied as investors took cheer from signs that some economies may be through the worst of the coronavirus downturn.

Investors were also relieved that U.S. President Donald Trump made no move to impose new tariffs on China during a news conference on Friday when he outlined his response to Beijing’s tightening grip over Hong Kong.

Economic data suggested the collapse in manufacturing output may have found a bottom in some countries.

In China, the Caixin/Markit Purchasing Managers Index (PMI) showed a marginal but unexpected improvement in factory activity last month.

In the euro zone, the manufacturing PMI recovered somewhat in May from April’s record low, although factory activity still contracted heavily. Japan and South Korea, however, saw the sharpest falls in activity in more than a decade.

The Australian dollar was the stand out performer, surging as much as 1.3% to a four-month high of $0.6772.

The Aussie is now up more than 20% from March lows. It gained steadily through May as the country brought the coronavirus under control and started June with a jump as the price of iron ore - Australia’s top export - hit record highs.

The euro gained, rising 0.4% to $1.1154 before falling back to trade flat at $1.1115.

“We turn strategically bullish on EUR/USD following the EU debt recovery fund proposal,” Morgan Stanley strategists said, referring to the European Commission’s proposals for a 1.85 trillion euro fiscal package.

The strategists, who expect more easing from the European Central Bank when it meets on Thursday, recommend buying the euro with a target of $1.155 - a level the single currency last traded at in January 2019.

With other currencies rising, the dollar fell to its weakest since March 16, before recovering somewhat. Against a basket of currencies the dollar index was last down 0.1% at 98.15.

ING analysts said the door to a weaker dollar had been opened now that new U.S. measures imposed over Hong Kong had proved less serious than feared and as OPEC+ looked set to extend oil supply cuts, which will boost commodity-linked currencies.

“We had pencilled in a bigger dollar decline for the second half of the year but will be alert to this trend emerging sooner than we had expected,” they said.

Analysts said unrest in major U.S. cities against police brutality was concerning but unlikely to shift short-term optimism about the U.S. economy.

Sterling rose as much as 0.6% to a three-week high of $1.2425, helped by Britain gradually moving out of lockdown.

China’s offshore yuan edged lower - it rallied on Friday on hopes for a softening in Sino-U.S. tensions.

The New Zealand and Canadian dollars climbed.

The Japanese yen inched higher, with the dollar down 0.2% to 107.66 yen.