The speaker's office said two of the artworks had reappeared leaning against the wall of a committee meeting room, confirming a report in the Canard Enchaine investigative newspaper.
A third was handed back anonymously to the parliament, while a fourth -- reportedly a work by French modern artist Herve Telemaque -- remains unaccounted for.
"A legal complaint remains in place for the painting still missing," the speaker's office said.
The ones that have spontaneously reappeared are a piece by the Greek artist Takis, a painting by Richard Texier and an engraving by an unknown artist.
Investigators from the Banditry Repression Brigade in Paris, which handles art theft, were assigned to the case.
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