First numbers that belong to both sets:
11,
11777,
22111,
22277,
55333,
77711,
88811,
1115533,
2266633,
2277733,
2288833,
3311177,
3333311,
3335533,
3335599,
3338899,
3339977,
3366677,
3388999,
4441111,
4442233,
4446677,
5551111,
5552233,
5553311,
5566111,
5566333,
5588111,
6622999,
6662233,
6688111,
8800999,
8844499,
8885533,
9922111,
9922277,
9995599,
11000111,
11133377,
11144477,
11166611,
11177711,
11666111,
22233311,
22255999,
22888111,
33322111,
33322999,
33355577,
44000111,
44444999,
44488111,
44499977,
55500077,
55511999,
55555111,
66633377,
66644111,
77111999,
77333777,
77788811,
99955111,
99955577,
110022299,
110044999,
110099777,
111001199,
111111199,
111118877,
111333377,
111334499,
111336611,
111554477,
111557711,
111557777,
111660011,
111662233,
111667711,
111771199,
111772277,
111881111,
111888899,
112244477,
112255511,
112288333,
113332277,
114447733,
114447799,
115511111,
115544411,
115551133,
115551199,
116655599,
116665511,
117766333,
117775577,
117788833,
117788899,
118822999,
118883311,
220066699,
220088833,
220099333,
221117711,
221177711,
222006611,
222211333,
222277799,
222336677,
222667799,
222778877,
222881177,
222887711,
223330099,
223399333,
225533311,
225556633,
225557777,
226622777,
226662211,
227711777,
227766611,
228866777,
228885511,
229911133,
229988111,
229992211,
229993333,
229999111,
330088333,
331122299,
331155511,
331166111,
331166699,
331177333,
332255111,
333116699,
333311177,
333336611,
333443399,
333559999,
333661199,
333665599,
333771133,
333774433,
333990077,
333992299,
334442233,
335557711,
335559977,
335588833,
336622333,
336666611,
337773311,
338811199,
338899111,
338899999,
339922111,
339922211,
339988877,
440033777,
440066611,
441115511,
441133111,
442255999,
442277111,
442288111,
442288333,
443311333,
443377999,
444110099,
444113399,
444224411,
444338833,
444433111,
444433333,
444455111,
444466333,
444550033,
444660077,
444663377,
444777733,
444885599,
445557799,
445559911,
445559999,
445588111,
446677711,
447779911,
447779999,
447788777,
447788899,
448887799,
449911199,
449977111,
551122277,
553339933,
553366633,
553366999,
553377733,
554422277,
554455333,
555005533,
555008899,
555222299,
555566699,
555588811,
555661111,
555666611,
555883333,
555990077,
556622111,
557772211,
558844999,
559933333,
660033377,
661117799,
661133399,
662233111,
662299111,
663330011,
665551111,
665553377,
666003311,
666113311,
666116699,
666228811,
666229999,
666336677,
666644411,
666661111,
666770011,
666773311,
668800999,
668866111,
668866999,
669911111,
669966677,
771116611,
771117733,
772222277,
772223399,
772277111,
773334433,
774499933,
775550099,
775559999,
775588811,
777002299,
777007799,
777447733,
777661111,
777664499,
777666677,
777700333,
777993311,
778844777,
779911999,
880066699,
881119999,
882211199,
882211333,
882211999,
882224477,
882244333,
883333111,
883355111,
884477777,
884488333,
885544999,
885556699,
885557711,
885566699,
888110099,
888114499,
888449999,
888551177,
888811999,
888866611,
888991111.
Some larger examples :
993332233,
993338833,
993344411,
994411333,
994466611,
994488811,
995577733,
997733311,
997773377,
997775533,
998811199,
998877799,
998880011,
999001111,
999220099,
999440011,
999441199,
999556699,
999922111,
999922211.