If it's CHCl3, you may be able to observe it using NMR - just use a different solvent (i.e. not CDCl3) - methanol or DMSO perhaps.
If you really need to use chloroform you may still be able to do it. Take a blank sample with 0.7ml of CDCl3, put a precisely known about of a spike in it, and run an NMR, you will have a spectrum of the spike + residual CHCl3.
Then add the same amount of the spike to a solution of your compound in 0.7ml, CDCl3, correlate the integrals of the spike in the two spectra, and see what the chloroform integral is in your sample.
Alternatively, crush your sample (assuming it's a solid) to a fine powder, and gently heat and dry under high vacuum for a while. This may eliminate the observed difference in solubility.
Of course, it may be that your compound actually crystallizes with one or more molecules of choroform, in which case the x-ray crystal structure will show this...