...Lwów, and ...

A Lithuanian garrison still resists the Cossacks' siege in Stary Bykhov, when Khmelnitsky and Buturlin are already active in Galicia.

They attack the Polish city of Lwów in September.

Russian and Cossack forces have meanwhile occupied the east of the Polish-Lithuanian Commonwealth as far as Lublin, with only Lwow (Lviv, Lemberg) remaining under Polish-Lithuanian control. 

John II Casimir, with the Lwów Oath of April 1, 1656, had crowned Our Lady of Częstochowa (the Black Madonna) as Queen and Protector of Poland in the cathedral of Lwów after the miraculous saving of the monastery of Jasna Góra during The Deluge, an event which has actually changed the course of the war.

He has promised to lift the burdens inflicted on the peasantry if he regains control.

The Austrian army enters the Polish-Lithuanian Commonwealth from the south by June, immediately stabilizing the situation in southern Poland, while

Conflicts had meanwhile arisen within the anti-Swedish alliance between the Habsburg Empire and Poland-Lithuania when the Empire had demanded ever more contributions while not showing the war efforts Poland-Lithuania had expected.

With the Russo-Polish War ongoing, most Polish-Lithuanian forces are bound in Ukraine.

England, France and Holland had agreed on a petition in the First Concert of the Hague, urging Sweden to settle for peace with Denmark on the terms of Roskilde, and peace talks mediated by France had taken place throughout 1659.

...besiege Lviv.

Sobieski's forces are too small to meet the Ottoman army head on, and can only score several minor tactical victories over the Ottoman detached units.

King Michael is unable to cope with his responsibilities and with Poland's quarreling factions; he dies at Lviv on November 10, 1673.

An invading army of more than one hundred and fifty thousand Turks and Tatars has seized Podolia but Sobieski’s forces eventually defeat them in 1675 at the Battle of Lvov.