"further entice" is correct and usable in written English.
It is used when you want to offer something more to encourage someone to do something. For example, "The company offered an extra incentive to further entice employees to take part in the project."
To further entice art lovers, sixteen Seattle hotels are offering related packages.
It was a goal and performance that only proved to further entice the on-looking scouts, many of whom were representing Europe's elite outfits.
Lavish perks further entice Microsoft "partners".
To further entice investors, there's takeover talk.
Community initiatives could also be developed that could further entice dollar stores to carry healthy foods.
To further entice the squid, Kubodera dropped down a smaller squid as bait.
Veronica is further enticed to relive the happier past when an old friend comes calling.
"Meet Blossoms," it suggested, before further enticing interest in the Stockport quintet: "They're not wankers".
Mr. Liberfarb, of Warner Home Video, predicted that as more people buy DVD players, disc prices will continue to fall, further enticing consumers to buy rather than rent.
We do not know the precise terms of the new contract and it would be hopelessly optimistic to believe that, if his present form continues, Suárez will not be in receipt of further enticing overtures from elsewhere.
Patrons are further enticed to linger by the fair selection of newspapers scattered among the many two-seat Formica-topped tables, a number of novels in the bookshelves by the windows, and a stack of games (Monopoly, Trivial Pursuit, Easy Money, mancala, chess) under the creamer and sugar stand.
