Rick Perry
Texas Gov. Rick Perry Reuter

President Obama and Texas Gov. Rick Perry plan to meet in Dallas to discuss the situation along the U.S.-Mexican border. The announcement follows Obama's request Tuesday for $3.7 billion in a supplemental appropriation to deal with the crisis.

Perry had earlier refused to greet Obama on the tarmac when he arrives Wednesday in Austin as part of a fundraising swing.

“Gov. Perry is pleased that President Obama has accepted his invitation to discuss the humanitarian and national security crises along our southern border, and he looks forward to meeting with the president tomorrow,” spokeswoman Lucy Nashed told Politico in an email.

The Austin American-Statesman reported that in a letter Monday Perry declined the airport handshake because it would "not allow for a thoughtful discussion regarding the humanitarian and national security crises enveloping the Rio Grande Valley in South Texas." White House senior adviser Valerie Jarrett then invited Perry to attend a roundtable with local officials and religious leaders, the American-Statesman reported.

On Sunday's "This Week" on ABC, Perry said he doesn't believe Obama cares about border security.

“The president has sent powerful messages time after time — by his policies, by nuances that it is OK to come to the United States and you can come across and you’ll be accepted in open arms. That is the real issue,” Perry said.

In a letter to House Speaker John Boehner, R-Ohio, on Tuesday, Obama made his supplemental funding request, saying the money help support enforcement, defray the cost of repatriating immigrants and pay for more judges and prosecutors.