The currency -- which plummeted 18.76 percent on Monday -- closed a further 1.77 percent down on Tuesday after the Central Bank had intervened to stave off bigger falls following losses of more than 3 percent by midday.
The peso traded at 58.33 pesos to the dollar, as against 57.30 at Monday's close.
The stock market rebounded 10 percent on Tuesday after having lost 38 percent in Monday's rout.
The Buenos Aires Stock Exchange Merval Index closed Tuesday up 10.22 percent, recovering some of the losses shipped following Macri's defeat to a leftist opponent in the country's primaries ahead of October elections.
Center-right Macri was dealt a huge blow in his bid for re-election when he polled 15 points less than center-left Peronist candidate Alberto Fernandez in Sunday's primary elections, which served as a bellwether for general elections in October.
"With a victory for Mr Fernandez on the cards, a sovereign default is even more likely," analysts Capital Economics warned in a note.
Macri's popularity has plunged since a currency crisis last year -- in which the peso lost half its value against the dollar -- and a much-criticized $56 billion IMF bail-out loan that analysts say may now have to be restructured.
Argentina is currently in a recession and posted 22 percent inflation for the first half of the year -- one of the highest rates in the world.
Poverty now affects 32 percent of the population.
Backed by the International Monetary Fund, Macri has initiated an austerity plan that is deeply unpopular among ordinary Argentines, who have seen their spending power shredded.