The sink drain should be a common 1.25 inch bathroom sink drain but...
of all the adheasives I have used the following are what I'd try
First some Plumbers GOOP (most any flavor will do but let's use plumbers) apply a generous bead to the bottom of the sink and press the pipe onto it.
Then use a good tape, Gorilla tape for example, to hold it in place not for one mintue, but overnight at least.
That should do it.
You may wish to use quite a bit of tape. Or try this
Two long strips of tape attach to the pipe as far down as you can by using a 3rd strip so that the two long strips form "Wings" and the shorter strip wraps around the pipe.
The long strips then attach to the bottom of the sink.
Home was where I park it. but alas the.
2005 Damon Intruder 377 Alas declared a total loss
after a semi "nicked" it. Still have the radios
Kenwood TS-2000, ICOM ID-5100, ID-51A+2, ID-880 REF030C most times