Parra converted with the final kick of the opening period to tie the scores 13-13.
France's tries came from Thierry Dusautoir and Cedric Heymans, scrum-half Morgan Parra kicking 11 points.
"The border patrol agent who was firing could have easily taken cover, " Mr Parra added.
BBC: Mexico boy shot in back by US patrol, post-mortem shows
Scrum-half Morgan Parra makes his first Test start alongside Francois Trinh-Duc who replaces David Skrela at fly-half.
Anastasija Sevastova of Latvia beat Spain's Arantxa Parra Santonja 6-2 7-5 to win the women's final in Estoril.
The Tri-Nations champions paid the price for ill-discipline as Julien Dupuy kicked four penalties and Morgan Parra one.
In Venezuela , its budget fiercely squeezed by low oil prices, the finance minister, Freddy Rojas Parra, resigned.
South African Hougaard and Clermont scrum-half Morgan Parra were both guilty of missing kickable penalties in the opening exchanges.
The conversion was executed superbly by the left-footed Parra from an acute angle.
Slovak number seven seed Daniela Hantuchova was defeated in a three-set marathon with Spaniard Arantxa Parra Santonja 6-4 6-7(7-3) 7-6 (7-5).
He also slotted over a penalty with Morgan Parra scoring two for the French as they trailed 17-6 at the break.
French international Parra could not convert and Hougaard again missed a chance to close the gap after Davit Zirakashvili had been sin-binned.
But Parra missed a further penalty opportunity for the French, who were content to simply maintain territorial control in the final quarter.
In the 10th minute, Canadian Cudmore gratefully accepted a wayward Hougaard pass and crossed to break the deadlock as Parra added the extras.
But Parra's penalty extended the French advantage to 8-3 after 27 minutes when Scotland prop Moray Low was pinged again at the scrum.
But scrum-half Parra made the most of more sloppy Scotland play to extend the lead with a penalty five minutes into the second half.
An ex-boyfriend of Susan Hendricks, Rudy Parra, told deputies that Hendricks told him she had shot a man who came into her house uninvited in 2006.
That allowed France to relieve the pressure, but at the other end Parra missed a 47th-minute kick at goal after Wales fell offside at a scrum.
Meanwhile, Marion Bartoli of France beat Anabel Medina Garrigues of Spain 6-2 6-1 and seventh-seeded Marlene Weingartner of Germany eased past Aranxta Parra of Spain 6-2 7-5.
But it fell to Parra to make France's second-half superiority tell and this time he hit the mark to put France 21-13 ahead with 10 minutes left.
Parra, who has appeared as a replacement in France's two wins over Scotland and Ireland, secures his first start after Jean-Baptiste Elissalde was ruled out with a calf injury.
France remained largely in control of possession, but Wales' defence ensured they did not take advantage until the 35th minute when full-back Maxime Medard's burst brought a penalty Parra kicked.
Mr Parra was among those responsible for a controversial new hydrocarbons law, seen by private-sector sources (and Mr Lameda) as a virtual death-blow to prospects for foreign investment in the industry.
Roberts saved Wales from another Medard attack, turning to bring the Frenchman down on the hosts' 22 and from the resulting scrum Baby dropped Parra's pass and suffered a knee injury in the process.
Parra's long-range 50-metre shot after 65 minutes hitting the post was a brief relief as Jauzion broke through moments later to set up a drop-goal attempt Trinh-Duc missed to leave the game on a knife-edge.
"I'm not saying it's a clear case of excessive force, but it is a very strong case for excessive use of force, " lawyer Luis Parra was quoted as saying by the Associated Press news agency.
BBC: Mexico boy shot in back by US patrol, post-mortem shows
Mr Parra thinks this may reflect Dow's memory of the way the American government left it to pick up the legal fallout from the use of the notorious Agent Orange defoliant during the Vietnam war.
The hosts responded with a series of powerful drives in which Sebastien Chabal and Lionel Nallet were prominent and which prompted Martyn Williams to kill the ball illegally for Parra to level the scores after six minutes.
But France were a transformed team in the final 40 minutes and Wesley Fofana crashed over for a try -- making it three in three matches -- and allied to two more penalties by Parra leveled the scores.
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