Not QGIS but could you use ogr2ogr and write them all to one shapefile?
http://www.gdal.org/ogr/drv_gpx.html
You could also give this a shot http://sourceforge.net/projects/gpxmerge/
Also gpsBabel can do it http://www.gpsbabel.org/htmldoc-development/Advanced_Usage.html
Cheers
James Spath
Business Systems Analyst - GIS
p: (08) 9781 0378 m: 0437 052 470
James...@busselton.wa.gov.au
City of Busselton
Locked Bag 1 - 2 Southern Drive, Busselton WA 6280
p: (08) 9781 0444 f: (08) 9752 4958
www.busselton.wa.gov.au
"Events Capital of Regional WA"
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