12/27
SQ 25 JFK-FRA, LH 1034 FRA-CDG (arrives 12/28)

1/1
SN 3634, 3181: CDG-BRU-FCO or
LH 1051, 232: CDG-FRA-FCO
many other possibilities

1/4
LH 1851,410 FCO-MUC-JFK
OS 502,87 FCO-VIE-JFK (arrives 1/5)

Should be able to book it all with 60k UA miles. Call em up and ask.