On 4 June 2019, Ponce signed a 4-year contract with another Russian Premier League club Akhmat Grozny.[2] On 16 October 2020, he was loaned to Rotor Volgograd.[3] On 7 August 2021, his contract with Akhmat was terminated by mutual consent.[4]
On 31 August 2021, he joined Danish club Vejle.[5] On 29 January 2023, Vejle confirmed that Ponce's contract had been terminated by mutual agreement.[6] Later on the same day, he signed with Russian First League club Akron Tolyatti.[7] Ponce left Akron on 14 June 2024, as his contract expired.[8]