MILAN—Italian Premier-designate Mario Draghi on Saturday secured preliminary support from two key parties for forming a new government that will decide how to spend more than 200 billion euros ($240 billion) in European Union funds to help relaunch Italy’s pandemic-ravaged economy. The populist 5-Star Movement and the right-wing League both signaled support for a Draghi-led government, saying they were ready to put aside bitter rivalries for the good of the country and increasing the potential for a broad-based government of national unity. Draghi, 73, the former president of the European Central Bank, completed a first round of talks with political parties this week. Another round is expected early next week on potential Cabinet ministers and a synthesis from Draghi of his vision for the new government. He also is expected to meet with unions, business lobbies, and other members of civil society. Italy’s president tapped Draghi this week to form …