Yes, Norway and also the UK have made multiple scrambles to intercept Bears.
They have 15 Tu-160 in service. Actually recently one more Tu-160 was produced at Kazan, from an incomplete airframe when production stopped in 1994-1995. They are still pretty young.
They have around 64 Tu-95MS Bear-H remaining in service. Produced in the 1980s.
Both are being upgraded now, with new navigation and fire-control suites, and new weapons including the Kh-555 non-nuclear cruise missile and other stand-off guided weapons.
The Tu-22M3 are also being upgraded, but reports indicate progress is slow with only a few upgraded since 1999.
And the Russian Navy operates about 50 Tu-22M3 and 15 Tu-142MK/MZ Bear-Fs. These Bears will probably not be upgraded, because the need for a long range ASW aircraft is diminishing. It also has some Tu-142MR Bear-J radio relay aircraft remaining. However with this stuff going on at the North pole, and current political situation, I wouldn't be surprised if they will.