[2] Greaves entered the 1000 km of Silverstone, part of the Le Mans Endurance Series (LMES), for the first time in 2004; he drove alongside Frank Hahn and Jean-François Leroch in a G-Force Racing-entered Pilbeam MP84.
[2] In 2005, he once again drove for G-Force Racing at the 1000 km of Silverstone, alongside Hahn and Leroch in a Courage C65; this time, the team finished 30th overall, and eighth in the LMP2 category.
[8] For the 1000 km of Spa, Greaves and Short were joined by Gregor Fisken, but the team retired again, this time after 67 laps.
[12] Having competed in the inaugural Radical World Cup,[2] Moseley and Greaves then entered the LMS finale, which was the 1000 km of Jarama; however, they retired again, this time after 27 laps.
[13] Greaves finished his season by competing in the Petit Le Mans, part of the American Le Mans Series; he drove alongside Devlin and Gunnar van der Steur for van der Steur Racing,[14] but retired after six laps with valve trouble.
[19] The following LMS race, which was the 1000 km of Nürburgring, was little more successful; Greaves and Moseley finished 35th, and ninth in class, after a starter motor problem had cost them around 30 minutes.
[23] Having not raced in 2008,[24] Greaves returned to the cockpit in 2009 for the 1000 km of Spa, which was the second round of the LMS season; partnering Pierre Bruneau and Jonathan Coleman, but the team were disqualified from the event.
[33] The 1000 km of Spa proved to be less successful; the team suffered a blown engine during qualifying, and Ebbesvik crashed out of the race after 15 laps.