Speaking to AFP last week, Margvelashvili said that back in 2008, the West believed Russia's military campaign against Georgia "was an isolated move which will not be repeated against other countries".
Under NATO rules, countries with territorial conflicts can not join NATO.
Georgia entirely lost control of both South Ossetia and another separatist region, Abkhazia.
He also said that the 2008 August war "could have been avoided".
Czaputowicz was in Tbilisi on a two-day visit, alongside fellow top diplomats - Lithuania's Linas Linkevicius and Latvia's Edgars Rinkevics - as well as Ukrainian Deputy Prime Minister Pavlo Rozenko.
The Georgian forces were defeated within days. The de-escalation of military operations has made it possible to ease anxiety in South Ossetia and Abkhazia and reach a relationship with the European Union and other countries.
Israeli army strikes Gaza in response to rockets hitting city of Sderot
The gathering had raised hopes a deal for a lasting truce with Israel , with the backing of Egypt and the United Nations. In a separate statement, the Israeli Air Force (IAF) said its fighter jets targeted 12 terror sites in the Gaza Strip.
Russian Prime Minister Dmitry Medvedev said on Monday that any future North Atlantic Treaty Organisation decision to admit Georgia to its ranks could trigger "a awful conflict" and he questioned why the alliance was even considering such a move.
The Foreign Ministry of Ukraine writes that Russian Federation bears full responsibility for the precarious humanitarian situation in the occupied territories and shall provide unhindered access to worldwide humanitarian and human rights organizations to these territories.
Russian officials, including President Vladimir Putin have repeatedly stated that NATO's expansion on the territory of the former Soviet Union would only bring additional tensions in the world as Russia would have to reply to the buildup of foreign military forces near its borders.
The Prime Minister called the immoral and criminal behavior of Mikheil Saakashvili that was the President of Georgia in those years the ground for the conflict. He has warned against Georgia joining North Atlantic Treaty Organisation.
North Atlantic Treaty Organisation again voiced support for Georgia's membership in the alliance at a meeting in Brussels in mid July, without naming a date. "It [Russia] is a direct aggressor".