Over the past year, Draper has developed into a leading player with genuine ambitions of landing the biggest prizes in the sport.
The way the Englishman overcame Monfils was another example of his growing maturity.
After two chastening previous experiences on the Paris clay, Draper has returned with a point to prove.
Patience was required as he battled from a set down against Italian opponent Mattia Bellucci on Tuesday to earn his first career win at Roland Garros.
It was a similar theme against the popular Monfils, who can whip up the crowd with his talented shot-making and infectious character.
The French fans have a reputation for being boisterous and, with one of their favourite sons playing in the twilight of his career, created an energetic atmosphere which Draper had to block out.
Crucially, he remained calm for the majority of the entertaining contest.
Despite having his errors enthusiastically cheered, with spectators implored to stop shouting out, Draper stayed locked in to retake the lead after Monfils levelled.
Signs of agitation did show in the fourth set, though.
