After receiving an offer from Japanese J1 League club Cerezo Osaka, Lam had reached preliminary agreement.
Russian top-flight club FC Dynamo Moscow and Portuguese side Sporting Braga have made offers since he has not been able to fly to Japan to sign the deal.
He is considering the two offers since playing in Europe has always been his dream, his agent said.
In June 2019 Muangthong United bought Lam from Hai Phong FC for $500,000. Since then, he has made 42 appearances over two seasons.