The link below takes one to a Russian Talk show. From 14:47 to the very end, Lopatkina is the guest. I don't know Russian, but watched anyway--it seemed very much in a Lettermanish spirit except perhaps a tad more respectful of Lopatkina as Prima Ballerina of the Mariinsky (that much I could translate).
She was wearing a stunning (I thought) gown and at about 23:20 she goes out onto the floor for mostly comical kibbitzing with the host, as she shows him port de bras, though also, a bit later, she dances a very brief port-de-bras centric solo in which she dances like...well...like Lopatkina, thought it was just arms and a bit of a back bend. At the end, the host escorts her onto the street (it's raining too, so he holds an umbrella over her head) and into a bakery where they get some pastry. I thought that touch was very Letterman.
Here is the link...
If anyone is interested and watches who DOES know Russian, it would be great to learn a little about what they actually said. Of course, Lopatkina is no giddy comedian (!), but she does seem relaxed, laughs, and even gets some laughs as well.