He played college football for the Virginia Tech Hokies, where he won the Rimington Trophy and was recognized as a unanimous All-American.

He got his job back in the 2008 NFL season, starting in 12 games, though the team's fortune stayed poor with a 5–11 record.

The previous starting center for the Dolphins, Samson Satele, was traded to Grove's old team, the Raiders.

In the 2010 preseason, he suffered from nagging knee and shoulder injuries, and was cut by the Dolphins less than a year after signing his lucrative free agent contract[5] in favor of Joe Berger.

He reportedly worked out for the Raiders, Baltimore Ravens, Detroit Lions, and New England Patriots, but did not sign with another team.