In a letter to Biden, Republican governors say they support "making higher education more affordable" but don't want to "force American taxpayers to pay off the student loan debt of an elite few."
In a Rose Garden address and on a conference call with governors on Monday, the president threatened to send troops to states that didn't crack down sufficiently on demonstrations.
Frustrated protesters have been rallying, demanding that governors reopen state economies. Health officials worry that a premature opening could make economic and health problems even worse.
Democrats made modest inroads on the GOP's commanding lead in governors' offices around the country. But did not fare well in marquee races in Florida and Georgia.
The president also criticized law enforcement for not doing enough to prevent the high school shooting in Parkland, Fla., and suggested he would have been more aggressive in engaging the gunman.
Senators holding hearings this week are looking for quick tweaks that will stabilize the insurance markets and make policies cheaper. Some governors want more federal money and more flexibility.
Despite the growing list of governors stating they will no longer resettle people from Syria, it's not clear whether states have the legal authority to keep the refugees out.