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Meghoma also had an effort blocked in first-half stoppage-time before Marko Milovanović's penalty six minutes after the restart proved decisive.
Portsmouth withstood late pressure from the hosts to secure back-to-back Championship victories for the first time this season.
Yunus Konak also played the full game as Lincoln City drew 2-2 at Millwall in the second tier.
Andrei Coubis opened the scoring inside the first minute before Rob Street doubled Lincoln's advantage after 33 minutes. Kyrell Lisbie pulled one back after the break and Jake Cooper equalised eight minutes from time, before the visitors were reduced to 10 men when Deji Elerewe was sent off.
Romelle Donovan was introduced after 79 minutes as Sheffield United earned a 1-0 away win over Bristol City.
Oliver Arblaster scored the only goal at Ashton Gate after five minutes, with Donovan helping the Blades see out the closing stages.
In Sky Bet League Two, Matthew Cox played the full 90 minutes as Barnet came from behind to beat Tranmere Rovers 2-1 at Prenton Park.
Cox made an early save to deny Dylan Jones before Will Vaulks gave the hosts the lead, but Kabongo Tshimanga scored twice during the second half, including an 87th-minute penalty, to turn the game around.
Josh Stephenson also completed 90 minutes as Crewe Alexandra maintained their unbeaten league start with a 3-2 victory over Rochdale.
Matúš Holíček opened the scoring before Jordan Gibson struck twice to give Crewe a three-goal advantage. A Joel Tabiner own goal and Aden Flint's late header reduced the deficit, but Lee Bell's side held on for a third consecutive victory.
Julian Eyestone started in goal for Rotherham United in their 2-0 defeat at Fleetwood Town.
The American made first-half saves to deny Mark Helm and Harrison Neal, but second-half goals from Shaun Rooney and Ronan Coughlan secured victory for the hosts.
In Scotland, Ben Krauhaus started and played 65 minutes as Falkirk recorded a 2-1 victory over Hibernian at Easter Road.
Jacob Murrell scored twice inside the opening 37 minutes before Owen Elding pulled one back for Hibs, with Falkirk holding on for all three points.
Elsewhere in Europe, Michael Olakigbe registered an assist as WSG Tirol secured a 2-0 victory at Wolfsberger AC in the Austrian Bundesliga on Sunday.
The 22-year-old started for the visitors and set up David Kubatta to double WSG's advantage on the hour, having also threatened the Wolfsberger defence himself before being replaced after 69 minutes.
Darwin Guagua was also involved in a winning side, coming off the bench after 68 minutes as Mérida recorded an emphatic 4-0 victory at Arenas Club in the Primera Federación.
Hugo Carrillo opened the scoring, Lacine Koné struck twice, and Raúl Beneit added a fourth shortly before Guagua's introduction.