I didn't know Pvt. Reaman, and only came into his area of activity some six months after his demise.
However, I can provide you with a little of the background.
His was one of 3 Infantry Regiments of the 36th Infantry Division (141st, 142nd and 143rd).
The division was assigned to various senior units on an as-needed basis.
On 11 June 44 it was assigned to IV Corps.
My reference states: 12 June 1944,Italian Front;
The American IV Corps continues to advance up the Tyrrheanian Coast, though now slowed down by growing opposition from motorized units of the German 14th Army.
13 June 1944; No pertinent entry.
14 June 1944; While the 14th German Army, under General Lemelsen, slowly withdraws, maintaining its contact with the enemy (US), the advance of IV Corps (Fifth Army, including 36th ID)in the Tyrrheanian sector continues, north and north-east towards Leghorn and Florence.
This would have been against the Gothic Line, and would have represented the beginning of the end for the Germans in Italy, although they didn't surrender there until 2 May 1945.
I have a map reference which depicts the division advancing north along the Tyrrheanian Coast , 9 June 1944, enroute to Poggibonsi.
I am sorry that I can't provide more insight for you.