First numbers that belong to both sets:
11,
11177,
11777,
22111,
22277,
22777,
33311,
33377,
44111,
44777,
55333,
55511,
77711,
77999,
88811,
1100777,
1110077,
1111333,
1115533,
1115599,
1116677,
1117799,
1133333,
1133777,
1144333,
1144477,
1144499,
1155577,
1166677,
1177711,
1177733,
1188899,
1199777,
1199999,
2200777,
2220077,
2221111,
2222333,
2225533,
2225599,
2227777,
2233999,
2244499,
2255111,
2255333,
2255999,
2266633,
2266777,
2277733,
2288833,
2299111,
2299933,
3311177,
3311999,
3331177,
3332233,
3333311,
3334411,
3335533,
3335599,
3336677,
3337777,
3338899,
3339977,
3344333,
3355577,
3355777,
3366611,
3366677,
3377111,
3377999,
3388877,
3388999,
3399911,
4400111,
4400777,
4411133,
4411333,
4422211,
4433333,
4433399,
4433999,
4440011,
4441111,
4441133,
4442233,
4443311,
4446677,
4448833,
4455533,
4499111,
4499933,
5511133,
5522233,
5522299,
5522999,
5550011,
5551111,
5552233,
5553311,
5554433,
5554499,
5555777,
5566111,
5566333,
5566777,
5588111,
5599777,
5599999,
6611777,
6622111,
6622211,
6622999,
6644111,
6655333,
6655577,
6660011,
6661111,
6662233,
6663311,
6667711,
6668833,
6668899,
6677777,
6688111,
6688999,
6699977,
7722277,
7733311,
7733377,
7766777,
7771177,
7774433,
7774499,
7775533,
7799111,
7799333,
7799999,
8800111,
8800777,
8800999,
8811199,
8822111,
8822299,
8833399,
8844499,
8855111,
8855533,
8866111,
8866633,
8877733,
8881111,
8881199,
8882233,
8884433,
8885533,
8886611,
8887777,
8889977,
8899333,
9911333,
9922111,
9922277,
9922777,
9933311,
9933377,
9955511,
9955577,
9977777,
9977999,
9991133,
9991199,
9994499,
9995533,
9995599,
9997711,
9997777,
11000111,
11111777,
11122333,
11133377,
11144477,
11155777,
11166611,
11177711,
11199977,
11333111,
11444999,
11666111,
11666999,
11777333,
11888111,
11888777,
11999111,
11999333,
11999777,
22200077,
22233311,
22244111,
22244333,
22244477,
22244777,
22255577,
22255999,
22288111,
22288999,
22299911,
22333111,
22333999,
22666333,
22888111,
22888777,
22999777,
33300011,
33322111,
33322277,
33322999,
33344777,
33344999,
33355111,
33355577,
33377711,
44000111,
44222333,
44333777,
44411177,
44411333,
44422111,
44422277,
44422333,
44444999,
44455577,
44455777,
44488111,
44488777,
44499977,
44555999,
44777333,
44888777,
44888999,
44999333,
44999777,
55000111,
55111333,
55444111,
55444999,
55500077,
55511999,
55522277,
55555111,
55555333,
55555777,
55566677,
55577111,
55588111,
55777333,
55888111,
55999777,
66622333,
66633377,
66644111,
66644411,
66644999,
66655999,
66677333,
66677777,
77000999,
77111777,
77111999,
77222777,
77333777,
77333999,
77444999,
77555999,
77711111,
77722111,
77722277,
77722999,
77733377,
77788811.
Some larger examples :
999997777733,
999997799111,
999998811199,
999998822233,
999998833777,
999998855111,
999998880011,
999998880077,
999998881111,
999998881177,
999998881199,
999998884477,
999998884499,
999998886611,
999998888899,
999999911333,
999999955777,
999999988333,
999999988777,
999999988811.