2017

He played at the 2017 Asian Indoor and Martial Arts Games in singles but was defeated by Farrukh Dustov in the quarterfinal.^[1] In men's doubles partnering Timur Khabibulin, he lost the final and won a silver medal.^[2]

2018: Silver medalist at the Asian Games

Yevseyev participated at the 2018 Asian Games in Jakarta, Indonesia. In singles, he lost to the bronze medalist South Korean Lee Duck-hee in the third round. In doubles, he won the silver medal after losing in the final with his partner Alexander Bublik against the Indian duo of Rohan Bopanna and Divij Sharan.^[3]

2019

In 2019, Yevseyev was nominated for the Kazakhstan Davis Cup team^[4] but did not participated in a match.

2020: ATP doubles debut

Yevseyev made his ATP main draw debut at the 2020 Astana Open in the doubles draw partnering Mohamed Safwat.^[5]

2022: Maiden Challenger final

He reached his maiden Challenger final at the President's Cup in Nur Sultan, Kazakhstan. As a result he reached a new career-high ranking in the top 300 at World No. 269.

2023: Maiden Challenger title, top 250

He made his debut in qualifying at a Masters 1000 level at the 2023 Rolex Shanghai Masters.

Singles: 15 (9–6)

Result	W–L	Date	Tournament	Tier	Surface	Opponent	Score
Loss	0–1	May 2013	Kazakhstan F4, Shymkent	Futures	Clay	Mikhail Biryukov	1–6, 5–7
Loss	0–2	Jul 2014	Kazakhstan F9, Astana	Futures	Hard	Andrei Vasilevski	4–6, 3–6
Loss	0–3	Jul 2017	Russia F4, Kazan	Futures	Hard	Pavel Kotov	6–7(5–7), 2–6
Win	1–3	Aug 2017	Russia F5, Kazan	Futures	Hard	Dmitry Mnushkin	6–4, 6–3
Win	2–3	Apr 2018	Kazakhstan F3, Shymkent	Futures	Clay	Ivan Gakhov	6–4, 5–7, 6–4
Win	3–3	Apr 2018	Kazakhstan F4, Shymkent	Futures	Clay	Pavel Kotov	7–5, 6–1
Win	4–3	Apr 2018	Kazakhstan F5, Shymkent	Futures	Clay	Teymuraz Gabashvili	6–2, 6–3
Win	5–3	May 2018	Turkey F20, Antalya	Futures	Clay	Vullnet Tashi	6–1, 6–0
Win	6–3	Dec 2018	Hong Kong F3, Hong Kong	Futures	Hard	Gao Xin	6–4, 1–6, 6–4
Win	7–3	Jun 2019	M15 Irpin, Ukraine	World Tennis Tour	Clay	Arnaud Bovy	6–1, 6–3
Loss	7–4	Jul 2019	M15 Almaty, Kazakhstan	World Tennis Tour	Hard	Andrey Golubev	1–6, 2–6
Loss	7–5	Sep 2019	M25 Irpin, Ukraine	World Tennis Tour	Clay	Laurynas Grigelis	0–6, 3–6
Win	8–5	Jan 2022	M25 Vilnius, Lithuania	World Tennis Tour	Hard (i)	Otto Virtanen	5–7, 6–3, 7–6(7–4)
Loss	8–6	Jul 2022	Nur-Sultan, Kazakhstan	Challenger	Hard	Roman Safiullin	6–2, 4–6, 6–7(2–7)
Win	9–6	Jul 2023	Astana, Kazakhstan	Challenger	Hard	Khumoyun Sultanov	7–5, 2-6, 6–4

Doubles 25 (10–15)

Outcome	No.	Date	Tournament	Surface	Partner	Opponents	Score
Runner-up	1.	July 14, 2012	Almaty, Kazakhstan F6	Hard	Rifat Biktyakov	Vitaly Kachanovskiy Vaja Uzakov	3–6, 4–6
Runner-up	2.	August 18, 2012	Vigo, Spain F24	Clay	Alexander Rumyantsev	Miguel Ángel López Jaén Andoni Vivanco-Guzmán	2–6, 6–7(2–7)
Runner-up	3.	March 17, 2013	Antalya, Turkey F10	Clay	Andrei Plotniy	Jesper Brunström Markus Eriksson	3–6, 1–6
Winner	4.	June 22, 2013	Cologne, Germany F6	Clay	Andrei Plotniy	Nikolai Fidirko Andrei Vasilevski	6–3, 6–3
Runner-up	5.	August 17, 2013	Izmir, Turkey F32	Hard	Sébastien Boltz	Maximiliano Estévez Tucker Vorster	4–6, 3–6
Winner	6.	October 6, 2013	Antalya, Turkey F39	Hard	Adam El Mihdawy	Andrei Ciumac Kirill Dmitriev	7–5, 6–3
Runner-up	7.	October 19, 2013	Shymkent, Kazakhstan F7	Hard	Marek Semjan	Sergey Betov Aliaksandr Bury	7–6(7–5), 3–6, [7–10]
Winner	8.	December 8, 2013	Antalya, Turkey F48	Hard	Florian Barth	Alexander Mozgovoy Sebastian Wagner	6–3, 6–3
Runner-up	9.	March 1, 2014	Aktobe, Kazakhstan F1	Hard (i)	Aleksandre Metreveli	Yaraslav Shyla Andrei Vasilevski	3–6, 6–3, [10–12]
Runner-up	10.	November 6, 2016	Sharm El Sheikh, Egypt F31	Hard	Yurii Dzhavakian	Karim-Mohamed Maamoun Vladyslav Manafov	2–6, 3–6
Winner	11.	June 17, 2017	Hua Hin, Thailand F2	Hard	Karunuday Singh	Yannick Jankovits Evan Song	6–1, 6–1
Winner	12.	August 5, 2017	Kazan, Russia F5	Hard	Daniiar Duldaev	Markos Kalovelonis Alexander Pavlioutchenkov	7–6(7–2), 6–4
Winner	13.	April 21, 2018	Shymkent, Kazakhstan F4	Clay	Aleksandre Metreveli	Denis Klok Vladimir Korolev	5–7, 7–6(7–4), [10–6]
Runner-up	14.	July 22, 2018	Astana, Kazakhstan	Hard	Arjun Kadhe	Mikhail Elgin Yaraslav Shyla	5–7, 6–7(6–8)
Runner-up	15.	March 10, 2019	M15 Toulouse, France	Hard (i)	Teymuraz Gabashvili	Antoine Escoffier Maxime Tchoutakian	2–6, 5–7
Runner-up	16.	July 14, 2019	M15 Almaty, Kazakhstan	Hard	Sebastian Korda	Andrey Golubev Konstantin Kravchuk	3–6, 2–6
Winner	17.	August 4, 2019	M25 Bolzano, Italy	Clay	Danylo Kalenichenko	Gianluca Di Nicola Nicolò Inserra	6–2, 6–2
Winner	18.	August 31, 2019	M25 Irpin, Ukraine	Clay	Vladyslav Manafov	Sergey Fomin Jurabek Karimov	7–6(7–5), 5–7, [10–6]
Winner	19.	September 6, 2020	M15 Novomoskovsk, Ukraine	Clay	Vladyslav Orlov	Wojciech Marek Eric Vanshelboim	6–4, 5–7, [13–11]
Runner-up	20.	November 15, 2020	M15 Heraklion, Greece	Hard	Artem Dubrivnyy	Jakub Paul Mick Veldheer	1–6, 4–6
Runner-up	21.	January 16, 2021	M15 Antalya, Turkey	Clay	Vladyslav Orlov	Pedro Cachin Juan Manuel Cerúndolo	5–7, 2–6
Runner-up	22.	March 13, 2021	St. Petersburg, Russia	Hard (i)	Konstantin Kravchuk	Jesper de Jong Sem Verbeek	1–6, 6–3, [5–10]
Runner-up	23.	April 3, 2021	Oeiras, Portugal	Clay	Riccardo Bonadio	Mats Moraing Oscar Otte	1–6, 4–6
Winner	24.	January 22, 2022	M25 Vilnius, Lithuania	Hard (i)	Ivan Liutarevich	Péter Fajta Fábián Marozsán	6–4, 7–6(7–4)
Runner-up	25.	July 16, 2022	M25 Nur-Sultan, Kazakhstan	Hard	Ivan Liutarevich	Daniil Glinka Karl Kiur Saar	6–7(4–7), 3–6

Asian Games

Doubles 1 (1 runner-up)

Outcome	Date	Tournament	Surface	Partner	Opponent	Score
Runner-up	2018	Palembang, Indonesia	Clay	Alexander Bublik	Rohan Bopanna Divij Sharan	3–6, 4–6