In a letter sent to Prime Minister Modi, President Xi congratulated him on the electoral victory of the NDA under his leadership, External Affairs Ministry Spokesperson Raveesh Kumar said in a tweet.
"We're having a little squabble with China because we've been treated very unfairly for many decades," President Trump told reporters at the White House.
China retaliated to Trump's latest round of increases on Monday, raising tariffs on roughly $60 billion worth of US exports.
Speaking to reporters at the White House as he met with Hungarian Prime Minister Viktor Orban, Trump also said he expected to meet with Russia's Vladimir Putin
His comments came after the US raised tariffs from 10 per cent to 25 per cent on $200 billion worth of Chinese imports on Friday.
The world's top two economies ended two days of negotiations in Washington on Friday with no deal.
Despite the negotiations, Trump, at times, has threatened to increase tariffs on Chinese products, but has backed down his warning amid signs of progress towards finalising a new trade agreement.
According to reports, a large fleet of nuclear submarines and other advanced warships gives China a reliable second-strike capability if its land-based nukes are wiped out.
The issue has also caused tension between India and China as Beijing has blocked resolutions to designate JeM chief Masood Azhar a 'global terrorist' at the UN.
The US like India has skipped the 2nd Belt and Road Forum as protest over the USD 60 billion China-Pakistan Economic Corridor being laid through Pakistan- occupied Kashmir.
While the initiative brings massive investments in maritime, road and rail projects across 65 countries in Asia, Europe and Africa, its ambition has divided many with the project having debt-risks.
Last week, negotiators from both the countries met in Beijing to resolve the nine month-long trade war.
Addressing the National Republican Congressional Committee spring dinner in Washington on Tuesday, Trump said Xi had denied he was a king.
Citing the ministry of education, Xinhua news agency said that "each provincial-level region" will have 50 to 200 football-centric kindergartens.
The two leaders made the remarks as they met at Beijing's Great Hall of the People on Ardern's first trip abroad since the Christchurch mosque attacks.