Context : The Chamaeleon star-forming region has been extensively studied in the last decades .
However , most studies have been confined to the densest parts of the clouds .
In a previous paper , we analysed the kinematical properties of the spectroscopically confirmed population of the Chamaeleon I and II clouds .

Aims : We want to search for new kinematical candidate members to the Chamaeleon I and II moving groups , extending the studied area beyond the clouds , and to characterize these new populations using available information from public databases and catalogues .
We also want to check if the populations of the moving groups are confined to the present dark clouds .

Methods : Kinematic candidate members were initially selected on the basis of proper motions and colours using the Fourth US Naval Observatory CCD Astrograph Catalog ( UCAC4 ) .
The SEDs of the objects were constructed using photometry retrieved from the Virtual Observatory and other resources , and fitted to models of stellar photospheres to derive effective temperatures , gravity values , and luminosities .
Masses and ages were estimated by comparison with theoretical evolutionary tracks in a Hertzprung-Russell diagram .
Objects with ages \lesssim 20 Myr were selected as probable members of the moving groups .

Results : We have identified 51 and 14 candidate members to the Chamaeleon I and II moving groups , respectively , of which 17 and 1 , respectively , are classified as probable young stars according to the SED analysis .
Another object in Chamaeleon I located slightly above the 1 Myr isochrone is classified as a possible young star .
All these objects are diskless stars with masses in the range 0.3 \lesssim M / M _ { \odot } \lesssim 1.4 and ages consistent with those reported for the corresponding confirmed members .
They tend to be located at the boundaries of or outside the dark clouds , preferably to the north-east and south-east in the case of Chamaeleon I , and to the north-east in the case of Chamaeleon II .

Conclusions : The kinematical population of Chamaeleon I and II could be larger and spread over a larger area of the sky than suggested by previous studies .
However , the results of this study should be confirmed with spectroscopic data and more precise kinematic information .