Heat gas or charcoal grill. In medium bowl, combine potatoes and 1 tablespoon of the oil; toss gently to coat. Place vegetables in grill basket (grill "wok").
In small bowl, mix remaining tablespoon oil, the chiles, salt and cumin; set aside.
When grill is heated, place grill basket over medium-high heat. Cook 10 to 15 minutes, stirring occasionally, until potatoes are lightly browned and tender.
Place potatoes in serving bowl. Pour reserved oil mixture over top; toss gently to coat.