A version of Republican presidential candidate Donald Trump's wall created by artists David Gleeson and Mary Mihelic is pictured next to the U.S. Mexican border in Jacumba Hot Springs, California, July 12, 2016. Reuters

So, about that wall...

Donald Trump has been vowing to build a "big, beautiful wall" across the U.S.-Mexico border in an effort to curb undocumented immigration since the inception of his campaign. But after the president-elect failed to convince Mexican President Enrique Peña Nieto to pay for the project during an August meeting, is Trump really planning on moving forward with his promise? Reports indicate members from both major political parties object to it.

"The wall is gonna take a while, he’s gonna build it," former New York City Mayor Rudy Giuliani told CNN anchor Chris Cuomo Thursday morning. Giuliani is reportedly being considered for the position of attorney general in Trump's administration. "It’s a campaign promise, he’s not gonna break a campaign promise," he added.

"Guys don’t want it in Congress, on both sides there’s resistance," Cuomo replied.

"Well, he’ll, he’ll – he, he can do it by executive order, by just reprogramming money within the, within the immigration, uh, uh, service," Giuliani continued. "And not only that, they have actually approved a wall for certain portions of the border that hasn’t even been built yet. So you could take a year building that out with what has been approved."

If Trump has been stern in his plans to build the border wall, he’s been even more adamant about his goals for the Mexican government to pay for it. "Mexico will pay for the wall. 100 percent," Trump said during a campaign rally following his meeting with Peña Nieto. "They don’t know it yet, but they’re going to pay for the wall."

That doesn’t seem to be the case, however. Peña Nieto shared his account of what happened during his conversation with Trump, noting he intended on working with whomever would eventually be elected to serve the American people.

"I was very clear in public and in private to emphasize the fact that in Mexico, we feel offended and hurt by his statements about Mexicans," Peña Nieto told reporters. "I expressed that we deserve respect, that we are honest, hardworking people, that we value our families and the culture of effort. I was also very clear in my conversation with Trump on the border: Mexico will not pay for any wall."

Giuliani is correct in noting a wall of sorts has been approved along the U.S.-Mexico border. A physical barrier between the two nations is already constructed in some areas, though it is fundamentally lacking in its ability to completely prevent people from migrating between both regions. House Republicans have now been eyeing that wall, which is actually more of a fence, and bolstering its security with added fencing and border patrol staffing rather than creating the "big, beautiful" wall their candidate promised.

It was not immediately clear whether Trump would settle on expanding upon the border fence or follow Giuliani's remarks and use executive action to construct a new project along the border.