England, who just failed to qualify for this summer's European Championships in France, face the Netherlands today and then play either Hungary or the Czech Republic tomorrow.
The journey to Hungary is the second phase of the summer programme, with England having already played three games in Ireland. They are also due to travel to Poland next month.
"The Ireland trip convinced me we can get to a higher level," Nemeth said. "Hopefully this week will reinforce that."
Teamsystem Bologna's Andy Betts, the second-round draft pick of the NBA's Charlotte Hornets, and the Verona guard Steve Hansell have solidified their positions in the national team set-up. But one player who really boosted his credentials with Nemeth was Derby Storm's Yorick Williams.
"He was not afraid of anyone in Ireland," Nemeth said. "Hopefully he will show it again."