The Kremlin said on Monday that Erdogan had apologised to Russian leader Vladimir Putin in a letter. Erdogan's spokesman confirmed the letter to Putin but did not refer explicitly to an apology, saying the Turkish president had expressed regret and asked the family of the pilot to "excuse us."
Yildirim also told reporters in parliament that legal proceedings were underway against an individual allegedly responsible for the killing of the Russian pilot.
Mending ties with Turkey "not a matter of few days"
The Kremlin said on Tuesday that one should not think it possible to mend Russia's strained relations with Turkey in a few days after Turkish President Tayyip Erdogan apologised for the downing of a Russian military plane.
Russian President Vladimir Putin and Erdogan will hold a telephone conversation at Moscow's initiative on Wednesday, Kremlin spokesman Dmitry Peskov told a conference call with journalists.