The US and the Taliban appeared closer on Wednesday to a breakthrough in talks over an American troop withdrawal from Afghanistan, after Afghan President Ashraf Ghani said there had been “notable progress” in negotiations.

Washington and the militants have been locked in gruelling discussions that have stretched over more than a year for a deal that would see the US pull thousands of troops out of Afghanistan.

In return, the Taliban would provide various security guarantees and launch eventual talks with the Kabul government.

In a series of tweets late on Tuesday, Ghani said US Secretary of State Mike Pompeo had called him to inform him of developments in the talks, which are taking place in Doha.

“Today, I was pleased to receive a call from @SecPompeo, informing me of the notable progress made in the ongoing peace talks with the Taliban,” Ghani said on his official Twitter account.

“The Secretary informed me about the Taliban's proposal with regards to bringing a significant and enduring reduction in violence.”

"This is a welcoming development and I am pleased that our principal position on peace thus far has begun to yield fruitful results. Our primary objective is to end the senseless bloodshed," he added.

A Taliban source told AFP that militant and US negotiators would meet again on Wednesday in Doha.

Citing Afghan and US officials, the New York Times reported that US President Donald Trump had given conditional approval to a deal with the Taliban.

The two foes have been on the brink of a breakthrough before, with a deal all but complete in September before Trump nixed it at the last moment amid continued Taliban violence.

The Times said Trump would only give final approval to the deal if the Taliban stick to a reduction in violence of “about seven days later this month”. The source said the group has agreed to the proposal.

He said to all intents and purposes, this would be a ceasefire, but it could not be named that because of various “complications”.

Despite ongoing talks between the US and the Taliban, Afghanistan's war has raged on, with the number of clashes jumping to record levels in the last quarter of 2019, according to a recent US government watchdog report.

In his annual State of the Union address on February 4, Trump renewed his vow to negotiate a troop withdrawal from Afghanistan.

“We are working to finally end America's longest war and bring our troops back home,” he said, offering his blessing for the negotiations with the Taliban.