Russian President Vladimir Putin will host the leaders of Armenia and Azerbaijan this week, days after some of the worst fighting between the two since last year's war over Nagorno-Karabakh, the Kremlin said Tuesday.

Putin will hold talks with Armenia's Prime Minister Nikol Pashinyan and Azerbaijan's President Ilham Aliyev in Russia's Black Sea resort of Sochi on Friday.

The trio will meet on Putin's initiative, the Kremlin said in a statement.

The Kremlin said the talks are "timed to coincide" with the anniversary of a Russian-mediated ceasefire, signed in November last year, that ended six weeks of fighting over the long-disputed Nagorno-Karabakh region. 

The Kremlin said the leaders will discuss "outlining further steps to strengthen stability and establish peace in the region." 

Armenian PM: ready to meet Aliyev

Earlier this month, clashes broke out on the shared border between Armenia and Azerbaijan with both sides reporting casualties and blaming each other for the fighting. 

Last week, Russia stepped in to mediate, with Moscow's Defence Minister Sergei Shoigu negotiating a truce. 

Later on Tuesday, Pashinyan told an online press conference that talks in Sochi should, among other issues, address "Azerbaijan's behavior". 

"Azerbaijan is demonstrating constant aggressive policies towards Armenia. What Azerbaijan is doing is an attack on Armenia," Pashinyan expressed in a live video on his Facebook page. 

However, he confirmed his "readiness" to meet Aliyev on the sidelines of the EU's Eastern Partnership summit in Brussels on December 15.

"I think that our communication should be more frequent, so we can find ways of solving problems and avoiding crisis situations," the Armenian president mentioned. 

He said they will discuss "humanitarian questions," including the exchange of war prisoners, but he warned against expecting "quick results."

Pashinyan and Aliyev last met in January in the Russian capital, Moscow.