Estimates of lynx in the Romanian Carpathians seems to be also around 1500-2000. Seems there are probably around 7,000+ in Europe altogether. As far as I can gather they don't seem to be threatened in this particular location. If you ever see one, count it your lucky day! Bears yes but lynx, highly unlikely.
'Eurasian lynx density and habitat use in one of Europe’s strongholds, the Romanian Carpathians'
Iberian lynx live in open habitats are diurnal and can be spot in their favorite places to rest at day by the national park rangers. There are tours for lynx watching in Doñana park. Not a guaranteed sight, but lots of tourists still have luck each year. Eurasian, being forest and mountain inhabitants, are much more difficult to watch.
'Eurasian lynx density and habitat use in one of Europe’s strongholds, the Romanian Carpathians'
https://academic.oup.com/jmammal/article/103/2/415/6500318