The talks will focus on "strengthening bilateral political, economic, security and counter-terrorism cooperation, the return of Afghan refugees, combating drug production and narco-trade, Afghan peace process and regional political and security situation", the statement read.
The Prime Minister will also meet senior Afghan political leaders during the visit.
Accusations that Islamabad's powerful military and intelligence services have considerable influence over the Taliban make it unlikely that Afghanistan will have much success in pushing for Pakistan to boost security and counter-terrorism operations along their shared border.
Prior to that, Pakistan's National Security Adviser Lt Gen (retd) Nasser Janjua also held separate meetings with President Ghani and Chief Executive Abdullah during his visit to Kabul.
Earlier this week, a high-level Pakistani delegation led by Foreign Secretary Tehmina Janjua met President Ghani and other Afghan officials to discuss various important issues.
The resumption of peace talks dimmed further after Mullah Omer's successor, Mullah Mansur, was killed in a US drone attack in Pakistan near Afghan border in 2016.
China to hit US soybeans, cars, planes with retaliatory tariffs
U.S. stocks opened sharply lower on Wednesday after China announced plans for heavy tariffs on $ 50 billion worth of USA exports. The Commerce Ministry's statement Wednesday criticized the latest moves as "a typical unilateralist and protectionist practice".
Pakistan also aspires to deepen people to people contacts.
The objective of Abbasi's visit to Afghanistan is to strengthen the positive momentum in bilateral relations and help augment joint endeavours in the pursuit of durable peace, stability and economic prosperity in the two countries, and the region, according to FO statement.
PM Abbasi was welcomed by Afghan President Ashraf Ghani and the two inspected an honor guard at the Presidential Palace in Kabul before heading in for meetings.
Pakistan has been under pressure from Kabul and Washington to stop offering safe havens to militants blamed for attacks in Afghanistan, a charge Islamabad denies. The two sides are also engaged in undertaking major bilateral rail-road connectivity projects. In the latest military actions, Pakistan told the Afghan about them and stressed that these operations were on Pakistani side of the border, it said.
Hours before the premier's visit, Afghanistan accused the Pakistan Air Force of violating its airspace.
During his meeting with Ghani, the Afghan president invited PM Abbasi to "initiate a state-to-state comprehensive dialogue".