Technical director Mike Coughlan says Arrows have set their sights on a podium finish after breaking their duck in Barcelona.
The team boosted itself off the bottom of the championship with its first points of the year thanks to Heinz-Harald Frentzen's sixth place in Spain.
Arrows had only finished once until Barcelona - Frentzen's solitary 11th place in Malaysia - before that.
But Coughlan believes that having put the pointless Honda powered teams of Jordan and BAR in the shade they could easily leap another three places to sixth in the constructors' championship.
And that would mean establishing themselves as the "best of rest" ahead of Toyota and Jaguar and the Asiatech-powered Minardi team.
"After Barcelona the next target is the podium obviously," said Coughlan. "It is a relief to get a result under our belts. But it is more of a relief to be competitive, be on the pace and score points because until now we had only had one other finish, Malaysia, that was all."
Coughlan said more good performances could follow and this result was not because the car suited one of the hardest set-up circuits of the season. "We have historically gone well at Barcelona but the circuit didn't especially suit the car," he added.
"I believe we are top of division two on pace. The top five, Ferrari, Williams, McLaren Renault and Sauber are division one. We are close to Sauber and closer than we have been for a while - but they still have the edge on us at the moment.
"But that may change. We have some upgrades coming and we are doing more testing. We proved in Barcelona we can run and beat BAR. From now on it will be down to constant development, aero work, set-up work and suspension work."