On 10–16 June 2014, Ashram competed at the 2014 European Junior Championships and qualified to all four event finals, taking the bronze medal in clubs and ribbon, placing 4th in ball, and 5th in hoop.

Ashram went on to represent Israel at the 2014 Youth Olympic Games in Nanjing, China,[16] where she finished 5th in all-around finals behind Romania's Ana Luiza Filiorianu.

On 9–13 September, Ashram (together with teammates Neta Rivkin and Victoria Veinberg Filanovsky) competed at the 2015 World Championships in Stuttgart, with Team Israel finishing 4th.

Ashram began her season competing at the 2016 Grand Prix Moscow, finishing 16th in the all-around and qualifying for the hoop, ball, and ribbon finals.

[24] On 23–24 September, Ashram culminated her season with her competition at the 2016 Grand Prix Final in Eilat, where she finished 4th in the all-around with a total of 72.850 points behind Russian Arina Averina.

Ashram competed at the 2017 Grand Prix Moscow, finishing 6th in the all-around and qualifying for all the apparatus finals; she won bronze in clubs, placed 4th in ball, and 5th in hoop and ribbon.

On 19–21 May, Ashram together with teammate Victoria Veinberg Filanovsky represented the individual senior for Israel at the 2017 European Championships; she qualified for all the apparatus finals and won bronze medals in clubs,[25] and finished 5th in ball and 6th in ribbon.

On 11–13 August, Ashram competed at the 2017 Kazan World Challenge Cup, and finished 4th in the all-around behind Katsiaryna Halkina; she qualified in all the apparatus finals and won four bronze medals, in hoop, ball, clubs and ribbon.

From 30 August to 3 September, at the 2017 World Championships in Pesaro, Italy, she qualified in three apparatus finals,[27][28][29] finishing 6th in hoop, 4th in ball, and winning bronze in ribbon.

She competed at the Sofia World Cup, winning silver in the all around behind Alexandra Soldatova and in the apparatus finals she won gold in hoop and clubs, and bronze in ball and ribbon.

At the World Cup in Baku, she placed 6th behind Katrin Taseva in the all-around and only made it to 2 apparatus finals, where she took silver in hoop and gold in ball.

In June 2019, Ashram competed at the European Games, in Minsk, Belarus, winning gold in ball and clubs, and silver in ribbon and all-around.

In the finals, she finished in first place after scoring 107.800 (27.550 on hoop, 28.300 on ball, 28.650 on clubs and 23.300 on ribbon), ahead of the qualifying-round favorite, ROC's (Russian Olympic Committee's) gymnast Dina Averina, by 0.150 points.

[35][36] Despite a 0.700 penalty for dropping the ribbon, Ashram led by a wide margin in both the clubs and hoop exercises, giving her the total higher score.

[37] Some Russian newscasters, politicians and athletes had a hard time accepting Ashram's victory over Averina, claiming that the Israeli win was due to "unfair refereeing" towards the Russian gymnasts (similar claims were made regarding the group all-around contest in the 2020 Tokyo Olympics, where Bulgaria's team won gold while ROC's team finished second[38]).

[41] Ashram has one eponymous skill listed in the code of points, a 180 degree turn on the stomach with the legs held in a stag split position with help from a hand or arm.