Walter Zenga is being linked with the Lecce job.
The post is available after Gigi de Canio's exit last week.
Gazzetta dello Sport says the short-list has been whittled down to just four tacticians.
Zenga has already worked around the world as a Coach with New England Revs, National and Steaua Bucharest, Red Star Belgrade, Gaziantepspor, Catania, Palermo and since 2010 has been on the bench of Al-Nassr in Dubai.
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