Describing the United States as "a proud Indo-Pacific nation," Biden said he wanted to ensure that the region remains "free and open" -- a reference to what the White House sees as attempts by rising power China to dominate international trade routes.
Lee urged closer ties between the United States and the ASEAN grouping, saying "it helps the US to be present in the Asia-Pacific and to deepen its relations with many friends and to strengthen its strategic interests in the region."
Reflecting Singapore's position as a trading hub eager to maintain good relations with both Beijing and Washington, Lee said he hoped Biden would "deepen" relations with "China certainly, but also other countries besides China."
The two leaders were to make a joint media appearance later.
Ukraine invasion looms
The Biden administration has repeatedly characterized the Asia-Pacific region, and particularly the rise of communist China, as the number one strategic issue for the United States.
The world's two biggest economies are at loggerheads over trade, human rights and, more broadly, what Biden often portrays as a defining struggle in the 21st century between the globe's autocracies and democracies.
But concerns about China have been pushed to the back burner by the emergency in Europe, where Russia's military is in its second month of attacking neighboring, pro-Western Ukraine in a crisis more reminiscent of the Cold War.
Even the alarming acceleration of North Korea's nuclear program -- including testing an intercontinental ballistic missile last week -- has been overshadowed by Russian president Vladimir Putin's bloody campaign.
Inevitably, the Russian war against Ukraine loomed large over Lee's visit.
Singapore announced in February it was joining other pro-Western powers in imposing sanctions on Russia, including blocking financial transactions.
The wealthy city-state rarely sanctions other countries without UN backing, but foreign affairs minister Vivian Balakrishnan cited the "unprecedented gravity" of the crisis.
And Russia's attack on Ukraine, which Putin says he wants to "demilitarize," has deeply shocked US allies beyond Europe, including Australia and Japan.
A US official said Putin's shredding of international borders "poses a threat not only for Europe, but also for the Indo-Pacific."
But while the official described Singapore and other regional powers as "stepping up," India has pointedly refused to condemn Russia's war, while Western officials fear China could actively help the Russians.