Four soldiers were killed and five injured in 15 attacks by Chechen separatist rebels on Russian forces' outposts over a 24-hour period.
An officer engaged in de-mining activities was killed by a mine blast on Tuesday in a suburb of the Chechen capital Grozny.
On Monday, fighting in the village of Alkhazurovo in southwest Chechnya killed one Russian soldier, injured another and killed three separatist rebels died.
In Bamut, also in southwest Chechnya, one Russian soldier was killed and another injured when their military vehicle came under fire on Monday.
An ongoing guerrilla war, referred to as a "counter-terrorist operation" by Russian authorities, continues to kill Russian soldiers on an almost daily basis even though major military operations in the rebel province have ended.
Russian tanks rolled back into Chechnya in 1999 after Russian forces lost against Chechen separatists in a 1994-1996 war.