Cross country is defined in Amendment 7 to JAR-FCL 1 and EASA Part-FCL as
"A flight between a point of departure and a point of arrival following a pre –planned route using standard navigation procedures." In member states that have not yet implemented Amendment 7 (e.g. the UK) there is no definition of cross-country flight for licensing purposes and it is up to each NAA to decide what it will and will not accept. There are, under JAA/EASA no distance limitations on cross-country flight.
A small correction to SoCal's final statement to remove any doubt:
If you do any further hours with the Instructor get him to sign the entry in the log book. They will count as dual flight time in your local country.