Possessive resultative constructions containing aHAVE-verb and apast passive participle have been used in West Slavic languages for centuries without showing a rapid grammaticalisation into a perfect (cf. evidence from Polish and Czech). The same holds for Slovak, where examples can be found at least from the 17th century on without rapidly changing on the grammaticalisation chain.
At the same time, Krupa demonstrated in 1960 a loss of congruence between object and past passive participle in possessive resultatives in colloquial Slovak distinguishing different types. Loss of congruence is often considered to be an important grammaticalisation step for emerging participial perfects.
A sought in the Slovak National Corpus brought some evidence for such constructions in journalistic texts and from the Internet (the same types as used by Krupa), but their frequency is very low so far.