The premier was also presented a guard of honour.
This comes after President Ghani officially extended an invitation to the Pakistan prime minister to visit Kabul for face-to-face talks in order for the two countries to resolve issues and jointly work towards forging peace in the country.
"The Prime Minister's visit to Afghanistan is aimed at strengthening 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", it said.
"To promote regional economic integration, the two countries are participating in key trans-regional initiatives namely Turkmenistan-Afghanistan-Pakistan-India (TAPI) gas pipeline and Central Asia - South Asia Electricity Transmission and Trade Project (CASA-1000)".
Abbasi recently joined the Afghan president in Herat to inaugurate the TAPI gas pipeline project.
Ghani and Abbasi also exchanged views on bilateral cooperation, the Afghan-led and Afghan-owned peace process, the hounourable return of refugees from Pakistan and swapping prisoners.
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Following two major terror attacks in Kabul in February, Afghan anger towards Pakistan remains high; the latter has been accused of aiding the Taliban to provoke wider instability in Afghanistan.
"Pakistan urges Afghanistan to focus on taking effective counter-terrorism actions including plugging of large gaps existing along the Afghan side of Pakistan-Afghanistan border to prevent the targeting of Pakistani civilians and security forces by terrorists from Afghan soil", he said in one of the tweets.
President Ashraf Ghani on Friday took strong exception to violations of the Durand Line by Pakistan, saying the situation did not serve the interest of either country.
The delegation comprised senior civil and military officials, including Director General Military Operations Maj Gen Shamshad Mirza.
It was during his meeting with Janjua that Ghani invited Abbasi to Kabul to "initiate a state-to-state comprehensive dialogue".