We study asymptotic behavior in time of global small solutions to the quadratic nonlinear Schrödinger equation in two-dimensional spaces i ∂ t u + ( 1 / 2 ) Δ u = 𝒩 ( u ) , ( t , x ) ∈ ℝ × ℝ 2 ; u ( 0 , x ) = φ ( x ) , x ∈ ℝ 2 , where 𝒩 ( u ) = Σ j , k = 1 2 ( λ j k ( ∂ x j u ) ( ∂ x k u ) + μ j k ( ∂ x j u ¯ ) ( ∂ x k u ¯ ) ) , where λ j k , μ j k ∈ ℂ . We prove that if the initial data φ satisfy some analyticity and smallness conditions in a suitable norm, then the solution of the above Cauchy problem has the asymptotic representation in the neighborhood of the scattering states.