It turns out it might be very common for astronauts on the ISS (or previously the MIR) to spot satellites. This is the distribution of the number of satellites in LEO for different altitudes

As you can see the ISS, with its $\sim 400 \; km$ altitude, is quite safe and alone below the huge carcass of LEO satellites moving around $800 \; km$ (it is also true that at that altitude the surface area of the carcass is very large and it is not as crowded as one might think just by looking to this histogram).
I see a few obvious pros and cons for these satellite observations from the ISS:
Advantages
- The majority of satellites are going to be above the ISS and thus you get a great contrast seeing them against a dark sky background instead of the bright surface of Earth. You can clearly see that in this simulation of what satellite tracks look like from the ISS.
- You are closer to LEO satellites than an observer on the surface of Earth. Twice as close in many cases, so the brightness should be around four times as high than from Earth (following a square law).
- No atmosphere nor clouds diminish the satellite brightness nor obstruct the view from the ISS.
- You don't care about the Sun been on the sky at the same time as you perform the observations. That is a huge limit for Earth based tracking since the sky shines in daylight. But here the contrast can be mantained with the dark sky (even if a Sun at to high elevation angles with respect to the horizon might backlit the satellite instead).
Disadvantages
- The cupola module of the ISS is always pointing towards the surface of Earth, where the contrast is not so great, the phase angle for the sunlight to reflect on satellites is not so great, where the number of satellites is very small (if not they would decay quickly) and the satellites themselves are small and thus difficult to spot(cubesats have less surface area and thus can live longer here than larger satellites). There are other windows pointed in other directions but they are much smaller limited.
- Astronauts/Cosmonauts have very busy schedules and usually prefer to make Earth observations on their free time. During EVAs they could in principle observe for satellites but I think the time constraints and concentration on the tasks during those would kill any observational detour.
- Too many stars. This might seem stupid but I suspect that having such clear skies can even turn out to mess up your observations. Here on Earth when you find very dark skies tracing and outlining even the most prominent constellations starts to be complicated, many stars shine brightly and dense fields make patter recognition difficult. Even if satellites can be better seen in the ISS there are a lot of sources in your field of view to distract your view.

To answer your question:
European astronaut Thomas Pesquet made a video from the ISS that shows several satellites popping up in the dark sky (I think I can see 3 of them in the video).
About halfway through the video, you may notice some small, bright objects streaking through the sky. ESA officials told Space.com that these are "probably functioning satellites," though scientists were unable to confirm which satellites they were. "The giveaway is the fact that the lights are not tumbling, which indicates they are actively controlled," ESA communications officer Daniel Scuka said in an email.
I wonder if someone here could be able to identify those satellites (given enought care).
Also, these can't be meteors since
a bright meteor burning up in the atmosphere typically has a duration of a second or less, possibly 2 or 3 seconds for larger objects. This movie, however, runs 25 times faster than real time, he said, meaning the objects are bright for several tens of seconds.
and
The objects' altitude doesn't fit that of meteors, either ... The typical altitude of a meteor is around 80 to 110 kilometers ... these objects are higher, at least 300 km. Meteors would not be visible at that height.
So, yeah. Thomas Pesquet has clearly seen a bunch of satellites from the ISS. There are also videos like this (which are not taken by any astronaut/cosmonaut but by the cameras outside the station) where you can clearly see four of five satellites crossing by.
The case of the possible Tiangong-2 - ISS encounter of 2017
All of the satellites mentioned above might be hundredths of kilometers away from the ISS so a close approach like the one you are mentioning should be spectacular (even if I've been unable to find any particular documented example of this happening). You should be able to see details and structure (and not only a bright point-like source).
At just $12.3\; km$ away, with $10.4\;m$ in length, the Tiangong-2 space station should appear with an angular size of $0.05^\circ=3'$, which is more or less the size of Mare Crisium as seen from Earth, just enought to distinguish its elongated shape with the unaided eye. With any of those great camera lenses they have onboard ISS astronauts/cosmonauts should have been able to see many features of the Tiangong-2 station. A spacesuit of around $\sim2\;m$ in lenght should be seen with an angular size of $0.01^\circ=0.57'=34''$ from the ISS, which is below the naked eye resolution; still you would see them as bright points if they got a few meters away from the Chinese station, but is still great for onboard cameras to take pictures of each individual. To Taikonauts on the Tiangong-2 at that time the ISS would have looked like the same size as the Moon (in particular $31'$) for them, enought to monitor the activities going on outside the station with great accuracy.
Sadly the Tiangong-2 was uninhabited at that time so no Taikonauts involved. I also doubt that the Tiangong-2 actually got that close to the ISS, there is no official anouncement of that event, neither released observations from ISS astronauts (a farily simple thing that should have happened) nor ground based observations (that even amateurs could have made without any difficulty) and the only source I can find for the close approach is that unanswered question on the forum.
The case of the Shenzhou-7 - ISS encounter of 2008
I think this is more interesting since this actually is known to have happened. The Shenzhou-7 was inhabited by taikonauts Jing Haipeng, Liu Boming and Zhai Zhigang.
The encounter happened at longer distances ($\sim47\;km$) and the Shenzhou-7 is smaller than the Tiangong-2 ($9.25\;m$) so the view was not so spectacular from the ISS. Apparently the EVA of Zhai Zhigang (the first Chinese spacewalk in history) happened at the same time as they approached the ISS. We should ask him if he took a moment to see the ISS.
while the EVA was taking place on Sept. 27, 2008, the SZ-7 spaceship came fairly close (within 47 km) of the International Space Station (ISS)
The angular size of the Shenzhou-7 from the ISS had to be around $0.01^\circ = 67'= 41''$, which is as large as Jupiter as seen from Earth in good conditions (cameras would have shown its shape without any problem). A spacesuit would have looked $8.8''$ in size so like a bright spot with naked eye and perhaps a blob with high magnification lenses. The interesting thing is that Zhai Zhigang should have been able to see the ISS as a $0.13^\circ = 8'$ object, enough to tell the shape of the solar panels and modules of the ISS with naked eye and enough for good details (like seeing the Canadarm) with a good camera.