The conversation came as Republicans have hammered the president for insisting repeatedly that he would not be willing to negotiate concessions in order to reopen the government or raise the debt ceiling.
According to the White House, the president also urged Boehner during Tuesday's call to bring to the floor the so-called clean continuing resolution that would open the government immediately, as well as a vote to raise the debt ceiling.
The president told Boehner that he was willing to negotiate on the budget "after the threat of government shutdown and default have been removed," the White House said.
On Tuesday morning, Boehner told reporters Democrats had adopted an “untenable position.”
“There's never been a president in our history that did not negotiate over the debt limit. Never. Not once,” Boehner said.
But the White House has said repeatedly that offering concessions to satiate conservatives within the House Republican conference would set a dangerous precedent.