By Ayla Jean Yackley CESME, Turkey (Reuters) - The Turkish coastguard on Tuesday rescued 330 Syrians adrift in the Aegean Sea after failing to reach Greece, as the number of migrants attempting the treacherous passage to Europe surges. A spokesman for the Greek coastguard, Nikolaos Lagadianos, said it "categorically denied" the allegations, saying an incident had taken place off the Turkish town of Bodrum, further south, but that the Greek authorities had not been involved. Most are travelling to Greek islands in the Aegean from the nearby Turkish mainland.