Pavlidis, 27, is currently on the books at Dutch outfit AZ Alkmaar, where he is the top scorer and making a splash in the Eredivisie.
West Ham have noted the progress of the experienced Greek international and claimed to have scouted him in a recent game.
However, the Hammers look set to face competition from Eintracht Frankfurt if they do go for Pavlidis, with the Germans plotting a swoop.
Eintracht Frankfurt want to sign two new strikers in January and, according to German broadcaster Sport1 (via Fussball Transfers), Pavlidis is on their list.
The Bundesliga club banked big cash from selling Randal Kolo Muani in the summer and want to reinvest some of it in January.
Attack is the area of greatest concern and Pavlidis is admired.
Eintracht Frankfurt sporting director Markus Krosche is working on adding strikers personally and if West Ham want Pavlidis they may have their work cut out.
