US Secretary of State Mike Pompeo met negotiators from the Afghan government and the Taliban in Doha on Saturday, amid signs of progress in their talks as Washington speeds up its withdrawal.

Pompeo's visit comes in the wake of a rocket attack which struck densely populated areas of Kabul, killing at least eight people in the latest outbreak of violence in the Afghan capital.

The Taliban denied responsibility and the Daesh group claimed the deadly strike.

Pompeo met separately with the Afghan government and Taliban negotiation teams in a luxury hotel in the Qatari capital.

"I would be most interested in getting your thoughts on how we can increase the probability of a successful outcome", Pompeo said as he met the Afghan government side, noting the shared interest in such a scenario.

He also met Qatar's ruler, Emir Sheikh Tamim Bin Hamad Al Thani, and Mohammed Bin Abdulrahman Al Thani, the foreign minister, on his stop in Doha, which is the Taliban's base for diplomacy.

The outgoing top US diplomat is on a seven-nation tour of Europe and the Middle East, as President Donald Trump shores up late-term priorities.

Earlier this week, the Pentagon said it would soon pull some 2,000 troops out of Afghanistan, speeding up the timeline established in a February agreement between Washington and the Taliban that envisions a full US withdrawal in mid-2021.

Trump has repeatedly vowed to end "forever wars", including in Afghanistan, America's longest-ever conflict that began with an invasion to dislodge the Taliban following the September 11, 2001 attacks.

President-elect Joe Biden, in a rare point of agreement with Trump, also advocates winding down the Afghanistan war, although analysts believe he will not be as wedded to a rapid withdrawal.

Breakthrough?

The Taliban are speaking to Afghanistan's government for the first time.

The talks started on September 12 in Doha but almost immediately faltered over disagreements about the agenda, the basic framework of discussions and religious interpretations.

Several sources told AFP on Friday that the two sides appear to have resolved some of the issues, however.

Among the sticking points so far, the Taliban and the Afghan government have struggled to agree on common language on two main issues.

The Taliban, who are Sunni hardliners, are insisting on adherence to the Hanafi school of Sunni Islamic jurisprudence, but government negotiators say this could be used to discriminate against Hazaras, who are predominantly Shiite, and other minorities.

Another contentious topic is how the US-Taliban deal will shape a future Afghan peace deal and how it will be referred to.

The Doha peace talks opened after the Taliban and Washington signed a deal in February, with the US agreeing to withdraw all foreign forces in exchange for security guarantees and a Taliban promise to start talks.

Violence surging

Despite the talks, violence has surged across Afghanistan, with the Taliban stepping up daily attacks against Afghan security forces.

Trump’s plan to slash troops by January 15 — less than a week before his successor Joe Biden is to be sworn in to office — has been criticised by Kabul residents who fear it will embolden the Taliban to unleash a new wave of fighting.

Afghan civilians have long borne the brunt of the country’s bloodshed.

Officials in Kabul also worry it will harden the Taliban position at the negotiating table, where the future of hard-won gains including women’s rights are on the line.

Saturday’s strike on the Afghan capital saw a barrage of rockets slam into various parts of central and north Kabul — including in and around the heavily fortified Green Zone that houses embassies and international firms.

The Daesh terror group said in a statement that 28 Katyusha rockets had been fired by "soldiers of the caliphate”.

Afghanistan’s Interior ministry spokesman Tariq Arian had earlier blamed the Taliban, saying "terrorists” had fired a total of 23 rockets. However, the Taliban denied responsibility, saying they "do not blindly fire on public places”.

The Iranian embassy said on Twitter that its main building had been hit by rocket fragments after a projectile landed on the premises. No one on the compound, located just outside the Green Zone, was wounded.

Recent big attacks in Kabul, including two horrific assaults on educational institutions that killed nearly 50 people in recent weeks, follow a familiar pattern in the aftermath, with the Taliban denying any involvement while the Afghan government pins the blame on them or their proxies