"further solidifies" is a correct and usable phrase in written English.
You would typically use it to emphasize how something has been established even more strongly. For example: "The new evidence found by the investigators further solidifies their conclusion that the suspect is guilty."
The endorsement of Mr. McCain further solidifies Mr. Romney as the candidate of the Republican establishment.
"Today's announcement further solidifies Christie's position and commitment in a market which possesses a strong heritage and deep appreciation of art".
The recent move by European Union officials only further solidifies the changing world of banker pay, rather than shaking up compensation practices.
"We believe this transaction further solidifies our position as one of the largest loan managers in the world and expands the depth and diversity of our product offerings".
The move further solidifies the power of Mr. Brulte, a former leader of the Assembly Republicans and finance chairman of the State Republican Party who helped retire its post-1998 election debt.
(Chinen) Yosvany Terry Quintet (Tuesday and Wednesday) The saxophonist and percussionist Yosvany Terry has a new album, "Today's Opinion" (Criss Cross), that further solidifies his stature as one of the serious younger faces of Afro-Cuban jazz.
He also further solidified his edge over Kellen Clemens in the team's quarterback competition.
Lee further solidified his position by mass detentions, including those of prominent Barisan leaders.
"Under his direction, Calvin Klein will further solidify its position as a leading global lifestyle brand".
The tea seller's belief was further solidified when he ran into Samadu a fortnight later.
His endorsement will further solidify Trump's credentials as a fervent opponent of illegal immigration.
