The two sides will meet again to contest the 1872 Cup on New Year's Day with re-signed Scotland prop Alasdair Dickinson's inclusion the only change to the Edinburgh line-up.
Coach Solomons has not been afraid to shuffle his pack this season but Grant believes the new boss's approach is paying dividends.
"I suppose looking at the bigger picture and coming on to this game it's great I've been playing well," he told the Scotsman.
"I think I said to the press a couple of weeks ago that there is always competition for positions but this year especially there is intense competition.
"With [coach] Alan [Solomons], he's tough, if you don't perform you are out and, when you are in, you have to be playing well
"I think that's helped me personally as well. I suppose it's extra motivation, you need to be playing well to be in [the team]."
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