Trump suggested that new tariffs on Canada and Mexico might be implemented on February 1st, but he refrained from introducing new import duties on his first day in office in his inaugural address.
While shares in Asia witnessed small increases, those in the US and Europe opened marginally higher.
Trump has pledged an ambitious agenda that could increase corporate profits, including tax cuts, trade reforms, and regulatory improvements.
However, other analysts have cautioned that the policies would potentially create inflation, which might compel the Fed to hike interest rates.
After plunging Monday following the inauguration, the dollar rebounded some ground against the euro and the pound, among other major currencies.