The official list of planets in our star system runs to eight, with gas giant Neptune the outermost.
Beyond Neptune, Pluto was relegated to the status of "dwarf planet" by the International Astronomical Union in 2006, although it is still championed by some as the most distant planet from the Sun.
In a study published in the latest issue of the British journal Monthly Notices of the Royal Astronomical Society, researchers propose that "at least two" planets lie beyond Pluto.
In theory, ETNOs should be dispersed in a band some 150 Astronomical Units (AU) from the Sun.
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ETNOs should also be more or less on the same orbital plane as the Solar System planets.
But observations of about a dozen ETNOs have suggested a quite different picture, the study says.
If correct, they imply that ETNOs are scattered much more widely, at between 150 and 525 AU, and with an orbital inclination of about 20 degrees.
"This excess of objects with unexpected orbital parameters makes us believe that some invisible forces are altering the distribution" of the ETNOs, said Carlos de la Fuente Marcos of the Complutense University of Madrid.
"The exact number is uncertain, given that the data we have is limited, but our calculations suggest that there are at least two planets, and probably more, within the confines of our Solar System," the Spanish scientific news agency Sinc quoted him as saying.
So far, there is no direct evidence to substantiate the theory.
Marcos's team, which includes astrophysicists at the University of Cambridge, devised a model based on changes previously observed in the orbit of a comet called 96P/Machholz 1 when it came near Jupiter, the biggest planet in the Solar System.