The firm has now said that the offer is "no different" financially to those which over free ski passes or holiday slots to children, adding: "We do not condone such actions and leave the decision solely at the discretion of the parents."
Angela Merkel must take it easy for three weeks and work from home where possible after a skiing accident, said her spokesman Steffen Seibert.
The accident happened last week when the Chancellor fell while skiing over the Christmas vacation.
"The chancellor is of course able to work and is in full communication," said Seibert. He added that Merkel's accident occurred "at low speed" but he declined to give further details. The chancellor has postponed a visit to Warsaw scheduled for Wednesday this week, Seibert added.
But she will lead a cabinet meeting on Wednesday which will be the first gathering of all the ministers in the new "grand coalition" government of her conservatives and the centre-left Social Democrats (SPD), which was formalised last month.
The boot Heather Mills was made to wear to comply with International Paralympic Committee Olympic guidelines caused her "intolerable pain", her management company has said.
The IPC ruled that Mills' new adaptive equipment had not been ratified and she would not be able to compete in the skiing event in 2014 Sochi Paralympic games unless she reverted back to using the approved equipment.
The ex-wife of Paul McCartney subsequently abandoned her plans to compete and withdrew from the selection process - a decision the British Paralympic Association described as "sad".
Mills' management company said the former model was "forced to wear a purely cosmetic, non-relevant full boot cover over her prosthetic leg, adding unnecessary weight and causing intolerable pain", according to the BBC.
The International Paralympic Committee refuted the suggestions and insisted all athletes had to abide by the same rules.
The authority reiterated that only approved adaptive equipment can be used in events.
Heather Mills' alleged outburst left the head of the Paralympic alpine skiing committee "extremely shocked and upset", according to a spokesman for the sporting authority.
"Heather's aggressive behaviour and verbal abuse has left Sylvana [Mestre] extremely shocked and upset," said Craig Spence, the International Paralympic Committee's Director of Communications, in a statement.
"Para-athletes are role models and an inspiration to billions of people around the world. This disgraceful outburst is not what we expect from any athletes competing in our competitions and will not be tolerated."
The IPC said the incident involving Mills and Mestre was witnessed by a number of people, and insisted Ms Mestre was just trying to enforce the rules and offer the former model a solution to the issue.
"There can be no excuse for such aggressive and intimidating behaviour towards such a highly respected and experienced official within the Paralympic Movement."
The British Paralympic Association has said they were "saddened" by Heather Mills' withdrawal from the selection process for the 2014 Sochi Paralympic game following a dispute with the International Paralympic Committee (IPC) over her adaptive equipment.
In a joint statement, the British Paralympic Association and British Disabled Ski Team said: "The British Disabled Ski Team were informed by IPC Skiing that there was an issue with the adaptive equipment that Heather Mills was using that needed to be addressed before she would be allowed to compete.
"As a result of this and on the back of an injury, Heather Mills has decided to resign from BDST, thereby removing herself from the selection process for the Sochi Paralympic Games.
"Occasionally in sport equipment issues arise, especially with adaptive equipment and the interpretation of the rules in relation to its use.
"Therefore we are all saddened that she has decided to retire at this stage, rather than working with BDST and IPC Skiing to resolve the issue."