Mr Putin attacked Ankara in the immediate aftermath of incident, the first time a Nato ally shot down a Russian jet since 1952, as well as snubbing any meeting with Mr Erdogan.
He described the shoot down as a "stab in the back" by the "accomplice of terrorists", which Mr Erdogan condemned as slander.
Nearly a week after the incident, the situation has not calmed down with both countries refusing to apologise but calling on the other to say sorry.
After a meeting with Jens Stoltenberg, the Nato secretary general, the Turkish prime minister refused to apologise and said no country should ask Turkey to say sorry for doing its duty.
Ahmet Davutoglu told reporters: "The protection of our land borders, our airspace, is not only a right, it is a duty. We apologise for committing mistakes, not for doing our duty."
Last week, as the war of words continued, Russia said it