A US coalition official tells CNN that the US-led coalition has talked with the Taliban since the drone strike. The official said it was to re-emphasize that the Taliban needs to control their fighters.

There is currently a direct communications channel in Doha where US personnel are stationed in which they directly speak to the Taliban there. While some have described it as a de-confliction channel, that is not really the case, the official noted. Instead, it's focused on quick, direct communications with the Taliban leadership.

At least 25 Afghan soldiers were killed and 13 others were injured in three separate Taliban attacks overnight Tuesday, local officials confirmed to CNN on Wednesday.

Following his call on Tuesday, Trump told reporters that he "had a very good talk with the leader of the Taliban" and that they "have agreed there is no violence, don't want violence."

"We will see what happens. They're dealing with Afghanistan but we will see what happens," Trump said.

His comments come as the Taliban have resumed hostilities in Afghanistan, carrying out dozens of attacks in the past day, according to the Interior Ministry. Marwa Amini, a deputy spokeswoman for the ministry, said there were attacks in 16 provinces, targeting civilians and security forces.

The new deal is aimed at withdrawing US forces and spurring the start of intra-Afghan negotiations. The signing came after the completion of a week-long "reduction in violence" in Afghanistan. Before the "reduction" agreement there were on average more than 100 attacks a day, according to an Afghan government official close to the process.

"We call on the Taliban to stop needless attacks and uphold their commitments. As we have demonstrated, we will defend our partners when required," he wrote.

The spokesman added that the US is "committed to peace," but that it has "the responsibility to defend our (Afghan National Defense and Security Forces) partners."