The phrase "ambitions of reaching" is correct and usable in written English.
It can be used when discussing goals or aspirations related to achieving something specific.
Example: "Her ambitions of reaching the summit of the mountain drove her to train rigorously for months."
Alternatives: "aspirations to achieve" or "goals of attaining".
Still, Morris's lofty ambitions of reaching the postseason fell short (in part because the N.F.L. insists that a team that wins seven games but finishes atop the worst division in history is more deserving of a postseason berth than a team that wins 10 games).
Martin O'Neill expects the Republic of Ireland's match with Georgia on Thursday to be difficult but in a group also featuring Wales and Austria, nothing short of a win against the second weakest nation will be good enough if their ambitions of reaching a first World Cup finals since 2002 are to be realised.
"He will help our club reach our ambitions of reaching the Champions League.
With just three points from their opening three games, Liverpool's ambitions of reaching the knockout stage of a competition they cherish so much are in real peril.
Tsonga's ambitions of reaching the last four at Wimbledon for the first time came into sharp focus as he broke again early in the fourth.
With England's ambitions of reaching 300 long since revised, it was left to Bopara - mixing the occasional drive over the top with sprightly running - and the muscular Bresnan to carry them to a total that proved more than adequate.
Emre's ambition of reaching the Uefa Cup final means Newcastle must avoid an unlikely defeat tonight.
But Team GB certainly did enough to suggest that their ambition of reaching the quarter-finals – a lofty one given their ranking – is not just a pipe dream.
As part of New Zealand mountain guide Rob Hall's expedition, Weathers had sunk around $65,000 into climbing Everest, the biggest and hardest challenge in his ambition of reaching the top of the highest peak on each of the seven continents.
As the secretary of state has set out clearly in the House, renewables made up almost 20% of our electricity generation in 2014 and there is a strong pipeline to deliver our ambition of reaching 30% by 2020.
