The Turkish national team pair are both said to interest Wenger and both are valued at around £15m and both spent an early portion of their professional careers in the Premier League.
23-year-old attacking midfielder Tore spent two years at Chelsea but failed to make an impact and was sold to Hamburg and has steadily matured into a very capable performer.
Ozyakup was at Arsenal between 2008 and 2012 but his only first-team involvement came in the League Cup before he was sold to Besiktas in the summer of 2012.
The 23-year-old central midfielder has gone on to rack up over 100 appearances for the SUper Lig side who currently top the table.
Arsenal enjoyed a 3-0 win over Man United on the weekend, a result that moves the North London side up to second place in the Premier League table.