The Sunday Mirror says Lewandowski â€“ valued at Â£25m â€“ is also wanted by ÂManchester United, Chelsea and Bayern Munich, but Gunners manager Wenger is keen to land the 24-year-old Poland international.
His team-mate Gotze is rated as one of the most talented young players in Germany. The 20-year-old is already a member of the senior international squad.
Chief scout Steve Rowley and his team have been scouring the German league in recent months.
Can this BVB duo transform Arsenal? Give us your shout below...